Physics Homework Questions & Answers Archive

Question 7 12 pts 7. Relative Motion. As you hurry to catch a flight at the local airport, you encounter a moving walkway that is 85 m long and moving with a speed of 2.2 m / s relative to the ground. If it takes 68 s to cover 85 m when walking on the ground, [Note: W - Walkway: P = Passenger; G = Ground] 1. Determine (a) vWG. (b) vPW, (c) vPG. Solution: (a) vWG= 2.2 m / s (b) vPW= -0.95 m / s (c) vPG= 1.3 m / s II. How long will it take you to cover the same distance on the walkway if you walk with the same speed as you walk on the ground? Solution: t= 25 s III. How long will it take to cover the 85-m length of the walkway if a traveler walked in the opposite direction on the moving walkway with a speed of 1.3 m / s relative to the walkway? Determine the traveler's velocity relative to the ground. Solution: Time: 94 s Velocity: vTG=0.9 m / s

A weight is attached to a spring and reaches its equilibrium position (x=0). It is then set in motion resulting in a displacement of x=6 cos t, where x is measured in centimeters and t is measured in seconds. Answer parts (a) and (b). (b) What is the spring's velocity when t=0 ? What is the spring's velocity when t=pi/3 ? What is the spring's velocity when t=3 pi/4 ?

An aircraft performs a maneuver called an "aileron roll." During this maneuver, the plane turns like a screw as it maintains a straight flight path, which sets the wings in circular motion. If it takes it 29 s to complete the circle and the wingspan of the plane is 12 m, what is the acceleration of the wing tip? 1.4 x 10^-2 m / s^2 0.28 m / s^2 0.11 m / s^2 0.56 m / s^2

Find the following limit. lim x→-5 (-x^2 + 2x - 3) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim x→-5 (-x^2 + 2x -3) = □ (Simplify your answer.) □ B. The limit does not exist.

Find the slope of the line.

Midterm Review Units 1-4 Question 5 The volume of a gas is 4.00 liters at 293 K and constant pressure. For the volume of the gas to become 3.00 liters, the Kelvin temperature must be equal to: A. 3.00×293 B. 293/3.00 C. 4.00×293 D. 3.00×4.00/293 E. 293/4.00×3.00 Submit Answer

Question 23 B = [[-5, 8], [0, -3], [2, 7]]. Calculate 4B+A. [[-11, 25], [3, -7], [8, 34]] [[31, -20], [12, 17], [2, 31]] [[16, 4], [12, 8], [8, 52]] [[-11, 25], [3, 2], [2, 13]]

A projectile is fired vertically, and its height (in feet) after t seconds is given by s(t)=-3 t^2+90 t+525. -Step 2 of 3: At what time will the projectile hit the ground? Round your final answer to the nearest hundredth. Answer seconds

The position ( x ) of a cart is described by the equation following expression: x=-4 m+(6 m / s) t-(2 m / s^2) t^2 (2 pt) When does the cart reach the origin (if ever)? EXPLAIN/SHOW WORK!!! (2 pt) Write an equation for the velocity of the cart as a function of time. (2 pt) When does the cart stop and change directions? EXPLAIN your answer

A tetrahedron has an equilateral triangle base with 12.0-cm-long edges and three equilateral triangle sides. The base is parallel to the ground, and a vertical uniform electric field of strength 150 N/C passes upward through the tetrahedron. What is the electric flux through the base? Express your answer in newton meters squared per coulomb.

f(x)=(5x+1)/(x-1) lim x→-∞ f(x) =□ lim x→1⁻ f(x) =□ lim x→1⁺ f(x) =□ lim x→∞ f(x) =□

"The car accelerated from 0 to 55 mph in the first quarter mile." Which of the following best categorizes this statement? theory observation hypothesis experiment scientific law

In all musical instruments, the sounds are produced by;

On the star map, three stars form a right triangle with star Vega at the right angle. The distance between Vega and Deneb is 6 centimeters. The distance between Deneb and Altair is 11 centimeters. What is the distance between Vega and Altair on the star map? Round your answer to the nearest tenth. The distance between Vega and Altair on the star map is about centimeters.

The gas mileages (in miles per gallon) of 23 randomly selected sports cans are listed in the accompanying table. Assume the mileages are not normally distributed. Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. Let σ be the population standard deviation and let n be the sample size. Which distribution should be used to construct the confidence interval? A t-distribution should be used to construct the confidence interval, since - σ is unknown. - the population is not normally distributed and n ≥ 10. - σ is known and the population is not normally distributed. - σ is known and n<30. - σ is known and n ≥ 10. - σ is unknown and n<30. - σ is unknown and the population is not normally distributed. - the population is not normally distributed and n<30. - σ is unknown and n ≥ 10.

Mission KG2: Slope and Shape of Position-Time Graphs Various time intervals during the motion are depicted by a letter on a position-time graph. During which time interval(s) is the object moving with a constant, nonzero velocity? Select all that apply. If there are no instances of moving with a constant, non-zero velocity, then tap the 'No Answer' button.

24. A point charge q1=2.40 μC is held stationary at the origin. A second point charge q2= -4.30 μC moves from the point x=0.150 m, y=0 to the point x=0.250 m, y= 0.250 m. How much work is done by the electric force on q2? 25. A charge of 28.0 nC is placed in a uniform electric field that is directed vertically upward and has a magnitude of 4.00 x 10^4 V/m. What work is done by the electric force when the charge moves (a) 0.450 m to the right; (b) 0.670 m upward; (c) 2.60 m at an angle of 45.0° downward from the horizontal? 26. A small particle has charge -5.00 μC and mass 2.00 x 10^-4 kg. It moves from point A, where the electric potential is VA=+200 V, to point B, where the electric potential is VB =+800 V. The electric force is the only force acting on the particle. The particle has speed 5.00 m/s at point A. What is its speed at point B? Is it moving faster or slower at B than at A? Explain. 27. A uniform electric field has magnitude E and is directed in the negative x-direction. The potential difference between point a (at x=0.60 m) and point b (at x=0.90 m) is 240 V. (a) Which point, a or b, is at the higher potential? (b) Calculate the value of E. (c) A negative point charge q=-0.200 μC is moved from b to a. Calculate the work done on the point charge by the electric field. 28. A silver wire 2.6 mm in diameter transfers a charge of 420 C in 80 min. Silver contains 5.8 x 10^28 free electrons per cubic meter. (a) What is the current in the wire? (b) What is the magnitude of the drift velocity of the electrons in the wire? 29. When switch S in the diagram is open, the voltmeter V of the battery reads 3.08 V. When the switch is closed, the voltmeter reading drops to 2.97 V, and the ammeter A reads 1.65 A. Find the emf, the internal resistance of the battery, and the circuit resistance R. 31. In the circuit shown in the diagram, find (a) the rate of conversion of internal (chemical) energy to electrical energy within the battery; (b) the rate of dissipation of electrical energy in the battery; (c) the rate of dissipation of electrical energy in the external resistor.

The angle bisectors of triangle ABC are AV, BV, and CV. They meet at a single point V. (In other words, V is the incenter of triangle ABC) Suppose SV=8,8V=21, m angle S8T=32 degrees, and m angle UCV=26 degrees, Find the following measures.

A 1500 kg car traveling at 15.0 m / s to the south collides with a 4500 kg truck that is initially at rest at a stoplight. The car and truck stick together and move together after the collision. What is the final velocity of the two-vehicle mass?

Part II: Two Points You have been assigned two points. They are: (2,4) and (6,20) For these two points, you will need to: - Find a - sine and/or cosine model that contains the two points; - power function that contains the two points; - exponential function that contains the two points - For EACH Model provide a contextual interpretation, for example, x represents the number of seconds since the launch, and y represents the height of the spaceship. - For EACH model, - evaluate the model for some values of "x" and interpret the meaning of the result - Solve for the values of "x" for which the function "equals", "is greater than", or "is less than", some value, and interpret the meaning of the result - For EACH model, create a reasonable sketch that highlights its key features - For EACH model write a problem (contextually) that your model could be used to solve and then solve it.

Unit 2: Forces Exam Free Response Questions 1. A spacecraft of mass m is in a clockwise circular orbit of radius R around Earth, as shown in the figure. The mass of Earth is ME. Note: Figure not drawn to scale. a. On the figure to the right, draw and label the forces (not components) that act on the spacecraft. Each force must be represented by a distinct arrow starting on, and pointing away from, the spacecraft. b. i. Derive an equation for the orbital period T of the spacecraft in terms of m, M E, R, and physical constants, as appropriate. If you need to draw anything other than what you have shown in part (a) to assist Note: Figure not drawn to scale. in your solution, use the space below. Do NOT add anything to the figure in part (a). ii. A second spacecraft of mass 2m is placed in a circular orbit with the same radius R. Is the orbital period of the second spacecraft greater than, less than, or equal to the orbital period of the first spacecraft? Greater than Less than Equal to Briefly explain your reasoning.

Two blocks of masses m and M are suspended as shown above by strings of negligible mass. If a person holding the upper string lowers the blocks so that they have a constant downward acceleration a, the tension in the string at point P is

Find m angle E. Write your answer as an integer or as a decimal rounded to the nearest tenth. m angle E =

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 210 grams of a radioactive isotope, how much will be left after 3 half-lives? Use the calculator provided and round your answer to the nearest gram. grams

The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 3.5 ft long with a diameter of 2.4 ft. Suppose gas is poured into the tank at a rate of 2 ft³ per minute. How many minutes does it take to fill the empty tank? Use the value 3.14 for π, and round your answer to the nearest minute. Do not round any intermediate computations.

Prove that f(x) is continuous at c if and only if the limit as h approaches 0 of f(c+h)=f(c). First, assume f(x) is continuous at c. From the definition of continuity, what is known about the function? - The limit as x approaches c of f(x) exists - The limit as x approaches c of f(x)=f(c) - f(c) exists - All of the above. If the limit as x approaches c of f(x)=f(c), how can this be used to show the limit as h approaches 0 of f(c+h)=f(c)? - Define h equal to x-c. - This cannot be shown. - Define h equal to x+c. - Since h approaches zero, the statements are not equivalent. Now, assume the limit as h approaches 0 of f(c+h)=f(c). Can h be defined so that f(c) and the limit as x approaches c of f(x) exist? - Yes - No

Question 12 (1 point) Two metal bricks are held off the edge of a balcony from the same height above the ground. The bricks are the same size but one is made of Titanium (density of 4.5 g / cm^3 ) and one is made of Lead (density of 11.3 g / cm^3 ) so the Lead is about twice as heavy as the Titanium. The time it takes the bricks to reach the ground will be: less but not necessarily half as long for the lighter brick less but not necessarily half as long for the heavier brick about the same time for both bricks about half as long for the lighter brick about half as long for the heavier brick Question 13 (1 point) A fully loaded delivery truck collides head-on with a small car heading the opposite direction. The force of the truck on the car will be Fton and the force of the car on the truck will be Fcont. What expression best describes the magnitudes of the forces exerted on the two vehicles. Ftnor=Fconet

What is the distance between point C and point D? A) 13 units

5. Why can the efficiency of a machine never be 100 percent? A. Friction converts some energy into a useless form. B. The power used can't be measured accurately. C. Machines can't transform energy from one type to another. D. Energy isn't conserved.

A new alcoholic cooler drink is packaged in brightly colored bottles with cartoon images in a tropical setting. A group of parents have complained to the company that this packaging is appealing to youth. What important function of packaging are the parents objecting to? - Protecting the contents of the product - Cueing the customer to branding information - Environmental function of informing consumers of sustainability - Ethical function of informing the consumer of the risks of alcohol

A liquid has a. a rigid shape. b. a fixed volume. c. neither a rigid shape nor a fixed volume.

a) Find the derivative of the function g̅(x)=4x b) Evaluate g′(3) c) Find the equation of the line tangent to g(x)=4x where x=1 d) Find the point on the graph of g(x)=√(-4)x where the tangent line to the curve will be parallel to the line y=2x-3

Dave's scale drawing of a tree outside his house is shown below. If 2 centimeters on the scale drawing equal 6 feet on the real tree, what is the actual height of the tree? 78 cm

There is a 140 Kg car that is accelerating to the right at a rate of 2.4 m / s^2, in front of the car is a 3.4 kg mass that is "stuck" to the car's front because of the system's motion. As the car is moving there is also a wind blowing to the left exerting a pressure of 290 Pa. If wind does not affect the car's motion and the mass is cubed in shape with sides that are 0.20 m in length, what is the normal force between the car and the mass in Newtons and rounded to two decimal places?

(a) How many calories is Ryan burning per minute? (b) What is the slope of the graph?

The graph of y=g(x) is shown. Draw the graph of y=-g(x).

The engineers designing the lunar module needed to figure out a way to reduce its weight, but they had to make sure the astronauts could still see out of the cockpit. The engineers brainstormed solutions to the problem that would reduce the weight while still allowing the astronauts a clear view outside. The table below describes three solutions that the engineers considered. Solution 1: Reduce the weight of the lunar module by making the windows smaller. The seats would not be changed. Solution 2: Reduce the weight of the lunar module by removing the heavy seats and using lightweight stools instead. A lightweight wire cage would surround the astronauts to keep them from floating off during the mission. Solution 3: Reduce the weight of the lunar module by removing the seats altogether. Lightweight handlebars and elastic straps would keep the astronauts in place during the mission. If the astronauts stood, they would be closer to the windows. So, the astronauts would be able to see out of the windows better, even if the windows were smaller and lighter. Testing showed that if the windows were smaller, the astronauts would not be able to see well enough from their seats to pilot the lunar module. This solution was not used. Astronauts did not like the design. They did not want to sit in a wire cage because it would be too confining. This solution was not used. The astronauts would experience large forces while landing on and taking off from the Moon. If the astronauts were standing, their legs might not be able to handle these forces. This solution required additional testing to see if it would work. Based on the information above, which two things were true about the lunar module brainstorming process? Proposed solution 1 was not used because it did not meet the weight criteria. Proposed solution 3 met both criteria and was guaranteed to work. Proposed solution 3 included ideas from Proposed solutions 1 and 2. Proposed solution 2 was not used because the astronauts did not approve of the design.

Procedure 1. Label the image below with the correct terms. What is this section of the aircraft called? Enter the correct labels 1. 2. 3. 4.

Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to 2000, from 2000 to 2006, and from 1994 to 2006. What is the average rate of change of the percentage of new employees from 1994 to 2000? % per year (Type an integer or a decimal rounded to two decimal places as needed.)

What is the total displacement for a boat that sails 200.0m [S25 W] and then tacks and sails 150.0m [30° E]?

Simplify the radical. √((-12)^2+(16)^2) √((-12)^2+(16)^2)= (Type an exact answer, using radicals as needed.)

The small squares on the EKG paper equal:

Divide. x/5 ÷ (x+4)/15 State the quotient in simplest form. x/5 ÷ (x+4)/15 = / Enter the numerator and denominator separately in the boxes above. If the denominator is 1, enter the number 1. Do not leave either box blank.

In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, 54 subjects wore magnetic insoles and 47 subjects wore nonmagnetic insoles. The results are shown at the right. At α=0.09, can you support the claim that there is a difference in the proportion of subjects who feel better between the two groups? Assume the random samples are independent. Complete parts (a) through (e). Do you Feel Better? Magnetic Insoles Nonmagnetic Insoles H0: p1=p2 Ha: p1 ≠ p2 E. H0: p1>p2 F. H0: p1 ≥ p2 Ha: p1<p2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) 1.70,-1.70. (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) A. <z< B. z< and z> C. z> D. z<

What does the click of the release button indicate? Working channel insert is correctly aligned Working channel insert needs to be repositioned Working channel insert is locked in place Working channel insert has been released

(b) The graph of y=g(x) is shown. Draw the graph of y=g(2x).

True or False The transmission electron microscope and scanning electron microscope produce very similar images, but the former can show three-dimensional external structures. True False True or False A microscope with very high magnification and low resolution would allow you to clearly see small structures. True False

Question 25 Consider the following chart. What is the marginal product of labor (MPL) of the fifth worker? Land (20 Acres) Labor (Workers) Total Product (Pounds) 20 acres 0 0 20 acres 1 50 20 acres 2 130 20 acres 3 220 20 acres 4 300 20 acres 5 370 20 acres 6 390 20 acres 7 380 Marginal Product of Labor (MPL) -10 20 80 90 80 70 50 0

From the list below, choose the exposure time that is closest to the exposure time used to make this star trail image: 1 hour 2 hours 12 hours 30 minutes 6 hours

Given the function (f(x)=x(2 cos x^2-2)), it is true that Select one: (f) is bounded from above (f) is unbounded from above and has no limit as (x rightarrow+infty) (lim x rightarrow+infty f(x)=0) (f) is bounded from below

Convert the polar coordinates S(16,135°) into rectangular coordinates. Do not use the polar-conversion function on your calculator. A. (-8 sqrt(2),-8 sqrt(2)) B. (-8 sqrt(2), 8 sqrt(2)) C. (-8 sqrt(3), 8) D. (8 sqrt(3), 8) E. (8 sqrt(2), 8 sqrt(2))

Each sketch below shows three objects with an electric charge. In each case, decide whether there is a net force acting on the object outlined in green. If there is a net force, decide whether it pushes the green-ring object to the left or right. Then select the appropriate button under the sketch. For example, if there is a net force pushing the green-ring object in the first sketch to the left, select the left button under the first sketch. If there is no net force on the green-ring object in the second sketch, select the middle button under the second sketch. And so on.

Solve the following logarithmic equation. log5(t+16) - log5(t+7) = log5 t Select the correct choice below and, if necessary, fill in the answer box. A. The solution(s) is/are . (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution is not a real number.

W25 Homework 2 Begin Date: 1/11/2025 2:30:00 PM Due Date: 1/22/2025 11:59:00 PM End Date: 1/22/2025 11:59:00 PM Problem 16: (6% of Assignment Value) A steel ball is dropped onto a hard floor from a height of 1.525 m and rebounds to a height of 1.35 m. Use a coordinate system in which the vertical component of velocity is positive in the upwards direction. - Part (a) Calculate its velocity, in meters per second, just before it strikes the floor. v=-5.47 v=-5.470 Part (b) Calculate its average acceleration, in meters per second squared, during its contact with the floor if that contact lasts 0.0800 ms (8.00 x 10^-5 s). a=

The temperature dependence of the reaction rate constant is given by the equation: ln k = ln A - (Ea) / (R T) Where: k = rate constant T = temperature A = frequency factor Ea = Energy of activation In order to solve for the Energy of activation, Ea, you must: Step One Add the same expression to each side of the equation to leave the term that includes the variable by itself on the right-hand side of the expression: + ln k = + ln A - (Ea) / (R T) Drag and drop your selection from the following list to complete the answer: ln (1/A) - ln A ln A

This is a frequency band in the electromagnetic spectrum with frequencies in the millions of cycles per second.

The length (in centimeters) of a bearing in the shape of a cylinder is given by (150.72/pi r^2), where r is the radius of the base of the cylinder. Find the length of a bearing with a diameter of 8 centimeters, using 3.14 as an approximation of pi. The length of the bearing is cm. (Simplify your answer.)

For the graph of y=f(x), where (a) Identify the x-intercept(s). (b) Identify any vertical asymptote(s) (c) Identify the horizontal asymptote(s) or slant asymptote(s) if applicable. (d) Identify the y-intercept(s). Write numbers as integers or simplified fractions. If there is more than one answer, separate them with commas. Part 1 of 4 Write your answer as an ordered pair. x-intercept(s): Part 2 of 4 Equation(s) of the vertical asymptote(s): None Part 3 of 4 Equation(s) of the horizontal asymptote(s): Equation(s) of the slant asymptote(s) Part 4 of 4 y-intercept(s)

Imagine you derive the following expression by analyzing the physics of a particular system: a=g sin theta - muk g cos theta, where g=9.80 meter per second squared. Simplify the expression for a by pulling out the common factor. a=(9.80 meter / second squared) sin theta - muk(9.80 meter / second squared) cos theta a=g sin theta - muk g cos theta (no simplification should be performed on the expression in this situation) a=g(sin theta - muk cos theta)

What is it called when an object spins around on an axis? A. Rotation B. Solstice C. Revolution D. Equinox

Une bouilloire électrique en acier de 3,0 kg et de puissance 960 W a une température initiale de 25°C et on y verse 4,0 L d'eau à 10°C. On considère que ce système est thermiquement isolé. Si on commence à chauffer l'eau immédiatement après l'avoir versé dans la bouilloire, combien de temps [en min] met l'eau pour atteindre 90°C. La masse volumique de l'eau est 1 x 10^3 kg / m^3 La chaleur spécifique de l'acier est 450 J/(kg * K) et celle de l'eau est 4190 J/(kg * K). La puissance se mesure en W=J / s.

For an experiment at the University of Idaho, DeShuna sends an object down a tube 0.5 meters in length. The object undergoes an electromotive force given by F=5 cos (x π/2) Newtons, where x is the distance of the object from one end of the tube. How much work is required to move the object through the tube? N-m

Q1=8.00 nC is at (0.800 m, 0) ; Q2=-5.00 nC is at (0,0.300 m); Q 3=2.00 nC is at (0,0). What is the direction in degrees of the net force on Q3 counter- clockwise from the +x-direction?

Speedboat A negotiates a curve whose radius is 112 m. Speedboat B negotiates a curve whose radius is 240 m. Each boat experiences the same centripetal acceleration. What is the ratio v / vB of the speeds of the boats? The weight of an object is the same on two different planets. The mass of planet A is only eighty percent that of planet B. Find the ratio rA / rB of the radii of the planets.

Homework: P-3 Question 5, P.3.23 HW Score: 23.53%, 4 of 17 points Points: 0 of 1 Subtract the polynomials. (6y^3+6y^2-y-7)-(y^2-4y+7) The difference is . (Simplify your answer.)

29. Un electrón en un tubo de rayos catódicos acelera desde una rapidez de 2.00 × 10^4 m / s a 6.00 × 10^6 m / s en 1.50 cm. a) ¿En qué intervalo de tiempo el electrón recorre estos 1.50 cm? b) ¿Cuál es su aceleración?

Hawa is flying a kite, holding her hands a distance of 3.75 feet above the ground and letting all the kite's string out. She measures the angle of elevation from her hand to the kite to be 26 degrees. If the string from the kite to her hand is 135 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

Truck Pollution: In an experiment to determine the effect of ambient temperature on the emissions of oxides of nitrogen (NOX) of diesel trucks, ten trucks were run at temperatures of 40 degrees F and 80 degrees F. The emissions, in parts per billion, are presented in the following table. Truck 40 degrees F 80 degrees F 1 838.7 817.8 2 752.8 764.9 3 856.9 843.0 4 901.0 796.1 5 784.1 763.2 6 863.2 821.3 7 881.3 783.4 8 739.4 695.5 9 749.5 771.6 10 848.6 795.7

Use integration by substitution to solve the integral below. Use C for the constant of integration. [ int frac6 x+21x^2+7 x+5 d x ]

Evaluate the limit as x approaches 0 from the left of e^(2 / x). If we let t = 2/x, we know that t approaches negative infinity as x approaches 0 from the left. Therefore, by the limit as x approaches negative infinity of e^x = 0, the limit as x approaches 0 from the left of e^(2 / x) = the limit as t approaches negative infinity of e^t = 0

A cell phone manufacturer tests the battery lifetimes of its cell phones by recording the time it takes for the battery charges to run out while testers are streaming videos on the phones continuously. The manufacturer claims that the population mean of the battery lifetimes of all phones of their latest model is 5.74 hours. As a researcher for a consumer information service, you want to test that claim. To do so, you select a random sample of 45 cell phones of the manufacturer's latest model and record their battery lifetimes. Assume it is known that the population standard deviation of the battery lifetimes for that cell phone model is 2.42 hours. Based on your sample, follow the steps below to construct a 90% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. Then state whether the confidence interval you construct contradicts the manufacturer's claim. (a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model. Number of phones Sample mean Sample standard deviation ------------ ------------- ------------- 45 5.47 2.13 Population standard deviation ------------ 2.42 Enter the values of the sample size, the point estimate for the population mean; the population standard deviation, and the critical value you need for your 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Point estimate: Standard error: Population standard deviation: Critical value: Compute (b) Based on your sample, graph the 90% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. - Enter the lower and upper limits on the graph to show your confidence interval. - For the point (4), enter the manufacturer's claim of 5.74 hours.

Question 3 (1 point) is the study of all of the alleles or genes in a population over time. macroevolution population genetics gene pools microevolution Question 4 (1 point) One principle of Natural selection is that variations in characteristics are inherited. Which of the following is an example of this principle? All bunnies in a population display the same coat color. Some beetles are dark, and some are light. There is not enough food for every giraffe to eat, so some die. Ladybugs with many spots tend to have offspring with many spots, while bugs with no spots tends to have offspring with no spots.

y=mx+b xz/(x270/400)=

La resistencia equivalente de los dos resistores mostrados en la figura siguiente está dada por 1/R = 1/R1 + 1/R2

If friction cannot be ignored, the mechanical energy of a moving object will -?- A) increase B) remain constant C) decrease D) increase or decrease, depending on th mass

According to the equation Q=20+0.8P, where Q is the quantity supplied and P is the price of the good measured in dollars, the A. quantity supplied equals 80 percent of the price. B. quantity supplied rises by 0.8 units as the price increases by 1 C. quantity supplied rises by 20 units as the price increases by 1. D. slope of the supply curve equals 20. E. quantity supplied rises by 16 units as the price increases by 1.

A nut falls from a tree limb. As the nut falls, its energy, associated with the nut's original position, is converted to energy, which is the energy associated with its.

The maximum height (H) of an object launched with initial velocity (v0) at angle (theta) is given by the following formula. [ H=fracv0^2 sin ^2 theta2 g ] If (g=9.8 , m / s^2), find the height of an object when (v0=100 , m / s) and (theta=frac4 pi7 , rad). Do not round any intermediate computations. Round your answer to the nearest hundredth: [ H= , m ]

Determine the amplitude and phase shift of y=2 sin (πx)-1. (You do not need to graph it, but if you do, it could be worth up to 5 points of extra credit.)

A ball is tossed straight up in the air. At its very highest point, the ball's instantaneous acceleration (ay) is zero. upward. downward

Let f be defined by f(x)= 4x+m, x<2 -6x^2+2m, x >= 2 (a) Find (in terms of m ): lim x->2+ f(x)=2m-24 (b) Find (in terms of m ): lim x->2- f(x)=m+8 (c) Find all values of m such that lim x->2- f(x)=lim x->2+ f(x) Values of m= DNE

A rock is launched vertically upward from the ground with a speed of 96 ft / s. The height of the rock (in ft ) above the ground after t seconds is given by the function s(t)=-16 t^2+96 t. Find its average velocity during its flight. The average velocity of the rock during its flight is (Simplify your answer.) ft / sec.

If you change from transducer with a 40 mm crystal thickness to one with a 20 mm crystal thickness, the frequency of the sound produced will: Select one answer A decrease by 1 / 4 B double C increase by a factor of 4 D increase by 1 / 2

Complete the partial orbital diagrams for the ions indicated. Fill orbitals from left to right and do not leave any boxes unfilled. Ion 4s 3d Cu^2+(Z=29)

If sin θ=c and 0 ≤ θ<(π/2), which expression is equivalent to cos (π+θ)?

In a distribution of Z scores, the mean is always

Concentration 0.1 0.2 0.3 0.4 Time (s) 0.5 200 400 600 800 0.0 100 300 500 700

What is the displacement Δx of the particle? Express your answer in meters. Δx=□ √[□]□ A Σ φ+m

A fish swimming at a constant speed of 0.5 m / s suddenly notices a shark appear behind it. Five seconds later, the fish is swimming in the same direction at a speed of 2.5 m / s. Calculate the fish's acceleration?

A blue light has a 460 nm wavelength. What is the wavelength of the light in meters? Give your answer in proper scientific notation. [?] × 10^[?] m Enter the coefficient in the green box and the exponent in the yellow box.

In the figure above a nonuniformly charged rod of length L=4.9 m lies along the x-axis with one end at the origin. The linear charge density (charge per length) is given by λ=(3.8 x 10^-9) x^1.3 (where λ has units of C / m when x has units of meters). Point P is located at the origin (the less densely charged end of the rod). What is the total charge on the rod? (This is given by Q=integral of dq=integral from 0 to L of λ dx.) What is the magnitude of the electric field at point P? (This will be given by E=integral from 0 to L of k λ dx/x^2 where λ is now a function of x instead of a constant.)

A fan is not helpful for lowering the temperature of the bedroom.

lim as x approaches 25 of (sqrt(x) - 5) / (2x - 50)

Which of the following effects

Consider the arrangement of point charges in the figure. Part (a) Determine the direction of the force on q (with q>0 ) in the figure, given that qd=qb=+7.50 μC and qc=qd=-7.50 μC. Straight downward Correct! Part (b) Calculate the magnitude of the force on the charge q in newtons, given that the square is 13 cm on a side and q=1.25 μC. F=0.00111

Properties of Sound Waves Factors Affecting Intensity Use the drop-down menus to complete each statement. When the amplitude of a wave triples, the intensity changes by a factor of When the amplitude of a wave is cut in half, the intensity changes by a factor of When the distance between the source and your ear is ten times farther away, the intensity changes by a factor of When the distance between the source and your ear is reduced by 1 / 3, the intensity changes by a factor of

The graph below shows a rough approximation of what's known as a "flash crash" in the price of the month gold futures on a particular day. Note that t is in hours and p(t) is in dollars. (You can click on a graph to enlarge it.) Evaluate the following. Enter DNE if a limit does not exist or a value is undefined. a. The limit as x approaches 140 of p(t) = 1700 b. The limit as 1 of p(t) = 1800

A tennis ball is tossed upward, and its heights at various times are recorded. Let f(t) be the height (in feet) of the tennis ball at t seconds. Complete parts a through e. Time (seconds) Height (feet) 0.00 1.93 0.06 2.36 0.12 2.49 0.18 2.64 0.24 2.65 0.30 2.60 0.36 2.46 a. Find an equation of f. Choose the correct answer below. A. f(t)=-13.33 t^2+8.13 t-8.03 B. f(t)=-13.33 t^2+6.13 t+1.97 C. f(t)=13.33 t+8.13 D. f(t)=6.13(-8.03)^t

a. Use the definition (mtan =lim h rightarrow 0 fracf(a+h)-f(a)h) to find the slope of the line tangent to the graph of (f) at (P). b. Determine an equation of the tangent line at (P). (f(x)=sqrtx+99, P(1,10)) a. (mtan =) (Simplify your answer. Type an exact answer, using radicals as needed.)

Radioactive decay and energy left over from the formation of the planet provide Earth with an internal source of

Use the definition (mtan =lim h rightarrow 0 fracf(a+h)-f(a)h) to find the slope of the line tangent to the graph of (f) at (P). Determine an equation of the tangent line at (P). (f(x)=7+4 x^2 ; P(0,7)) (mtan =) (square) (Type an integer or a fraction.)

JNUSUAL ATTITUDES / INSTRUMENT FAILURE Recovering From Unusual Attitudes Previously Unanswered Select the true statement(s). If you find yourself in a nose-high unusual attitude the correct procedure is to level the wings prior to lowering the nose. If you find yourself in a nose-high unusual attitude the correct procedure is to lower the nose prior to leveling the wings. If you find yourself in a nose-high unusual attitude the correct procedure is to increase power prior to lowering the nose.

Lee is rolling along on her 4-kg skateboard at a speed of 3 m/s when she jumps off the back and continues forward with a velocity of 2 m/s relative to the ground. This causes the skateboard to go flying forward with a speed of 15.5 m/s relative to the ground. What is Lee's mass?

If a photon has energy of 3.74 × 10^-26 J, what is the wavelength of this photons in meters? h=6.626 × 10^-34 Js

Use transformations of the graph of (f(x)=4^x) to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range. (g(x)=4^-x) Determine the transformation(s) that is/are needed to go from (f(x)=4^x) to the given function. Select all that apply. A. shift 4 units downward B. reflect about the (y)-axis C. shift 4 units to the left D. shift 4 units upward E. shrink vertically F. shrink horizontally G. reflect about the (x)-axis H. stretch horizontally I. shift 4 units to the right J. stretch vertically

At time t=0, a system consists of three spheres with different masses located at the distances shown on the figure. a. Draw a free body diagram for the center sphere, indicating the gravitational force acting on it due to the spheres surrounding it. Each vector should consist of an arrow starting on and pointing away from the center sphere. The length of the vectors should be drawn relative to their magnitudes. Make sure to label the arrows.

What is the measure of angle MJK in the figure below? A. 58° B. 64° C. 32° D. 60° E. 15° F. Cannot be determined

Solve the following equation for "T" using the values of the other variables listed below. u = sqrt(3 * R * T / M̄) u = 300 M̄ = 0.056 R = 8.314

The rectangular prisms shown below are similar. What are the values of x and y? x : y :

Matching Question Match the magnitude of the equilibrium constant K with the correct description of the reaction system. (i) Instructions Small K Intermediate K Both reactants and products will be present in significant amounts at equilibrium. Large K Equilibrium favors the reactants; there will be more reactants than products at equilibrium. Equilibrium favors the products; there will be more products than reactants at equilibrium.

Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim as x approaches 5 of F(x) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim as x approaches 5 of F(x)= (Type an integer or a simplified fraction.) B. The limit does not exist.

A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate of 6.20 x 10^5 m/s^2. What is the muzzle velocity of the bullet if the barrel is 52.0 cm long? Use the equation v^2 = v0^2 + 2a(x - x0). 439 m/s 949 m/s 529 m/s 190 m/s

For questions 1-6 use the image to the right (assume air resistance is not present): 1. In order to throw the ball the shortest, the football player should throw the ball at a) 15° b) 45° c) 75° d) Any angle, as long as the speed is the same, they land in the same place 2. The ball will stay in the air the shortest (for the least time) if it is thrown at a) 15° b) 45° c) 75° d) Any angle, as long as the speed is the same, they spend the same time in the air 3. The ball has the greatest vertical velocity when launched at a) 15° b) 45° c) 75° d) Horizontal velocity is the same at each angle

Estimate the AVERAGE rate of change from x=2 to x=5 for the following function f(x) whose graph is given below. (You can click on a graph to enlarge it.) Average rate of change: Note that the average rate of change of a function from x=a to x=b is (f(b)-f(a))/(b-a).

Find h as indicated in the figure. h = □ (Round to the nearest integer as needed.) 27.2° 30.4° 315 h

Why does a golf ball appear white? The ball reflects visible light at a white-colored frequency. The ball reflects all colors of visible light. The ball absorbs all colors of visible light. The ball reflects colors outside of the visible spectrum.

A worker pushes a 1.50 x 10^3 N crate with a force of 345 N a distance of 24.0 m. Assume the coefficient of kinetic friction between the crate and the floor is 0.220. How much work is done by the worker on the crate?

SpaceX launched another rocket at a 60-degree angle has an 1 m / s. Draw an annotated diagram and solve the problem in the space provided below.

3 Multiple Choice 1 point The Ring of Fire is located ... around the Pacific ocean. around the Atlantic ocean. around the equator. around the African continent.

When a chef prepares a dinner for a customer, which factor is physical capital? the food ingredients the chef's training and experience the chef the oven

Item Trial 1 Empty Cart Trial 2 Empty Cart Trial 3 With 200g Trial 4 With 200g --- --- --- --- --- Total Mass of Cart (kg) .2482 .2482 .4482 .4482 Work Done (Area) (N-m) .096 .091 .096 .217 Velocity, Initial (m/s) 0 0 0 0 Velocity, Maximum (m/s) .701 .679 .808 1.040 Change in Kinetic Energy (J) .0609 0.0572 .1463 .46617

The position of a hummingbird flying along a straight line is given by the functions s(t)=2t^4-2t^3-2t^2-8 where t is measured in seconds and s is measured in meters. Find the acceleration function a(t). Provide your answer below: a(t)=

In the brake mode, what does the Torque meter indicate when the torque correction function is disabled?

Question 9 10 pts A truck with 22-in.-diameter wheels is traveling at 45 mi / h. Find the angular speed of the wheels in rad/min, hint convert miles to inches hours to minutes: rad/min How many revolutions per minute do the wheels make? rpm Round your answers to 1 decimal place.

Question 4 Using the figure below, categorize electromagnetic radiation with a wavelength of 1.0 x 10^-3 m. Infrared X rays Ultraviolet Microwave Gamma rays

2e^3x cdot 9e^3x

The figure below shows a quadrilateral ABCD such that AB and DC are equal and parallel. A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram: Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel. Which statement best describes an error in the student's proof? Triangles ABO and BCD are congruent by the SSS postulate instead of the SAS postulate. Triangles ABO and BCD are congruent by the AAS postulate instead of the SAS postulate. Angle DBC and angle BDA form a pair of corresponding angles, not a pair of vertical angles. Angle DEC and angle BOA form a pair of alternate interior angles that are congruent, not a pair of vertical angles.

Find (x) and (y).

Guess f(a) and lim as x approaches a of f(x)

A 60-Newton rightward force is applied to a 15-kg object to accelerate it to the right. The object encounters a friction force of 30 Newton. Fill in all blanks. (Use the approximation that g ~ 10 N / kg.) Fnorm = Fapp = Fgrav = Ffrict = m = a = Fnet =

assigns each call a certain amount of time on a selected frequency. A) CTMA B) CDMA C) MTSO D) TDMA

Convert the pressure 578 N / km^2 to pascals (Pa). Recall that 1 Pa=1 N / m^2.

Are the stars from Question 3 inside or outside the Milky Way Galaxy? Explain your reason.

A projectile is launched horizontally. As it travels along its trajectory toward the ground, the horizontal component of its velocity and the vertical component of its velocity a. increases, increases b. decreases, decreases c. increases, decreases d. decreases, increases e. remains the same, increases f. remains the same, decreases g. increases, remains the same h. decreases, remains the same i. remains the same, remains the same

6. Objects of various weights are hung from a rubber band that is suspended from a hook. The weights of the objects are plotted on a graph against the stretch of the rubber band. How can you tell from the graph whether the rubber band obeys Hooke's law? 7. How must the length of a pendulum be changed to double its period? How must the length be changed to halve the period? 8. If a car's wheel is out of balance, the car will shake strongly at a specific speed but not at a higher or lower speed. Explain. 9. How is uniform circular motion similar to simple harmonic motion? How are they different? Periodic Motion Lesson 1 1

Case III. A + B + C = 0 vector mass, kg magnitude, N direction x-component y-component A 0.200 0° B 0.150 90° C verified:

Match each letter in the image to the correct type of quadrilateral. (i) Instructions rectangle

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object's mass? F=16.1 m F=16.1/m^2 F=32.2 m F=32.2/m^2

Exercise 2 In the above circuit: 1. Find the voltage across and the current through each component 2. Prove that the power generated = power absorbed 3. Deduce the readings of the voltmeters

In the exponential model f(x)=a(1+r)^x, the parameter a is the Select an answer and r is the Select an answer

A tower that is 132 feet tall casts a shadow 174 feet long. Find the angle of elevation of the sun to the nearest degree. The angle of elevation is degrees. (Round to the nearest degree.)

Convert -668° to radians: π

Determine the area of a triangle with points A(0, 1, 6), B(6, 2, -5), and C(1, -6, 6). Area = 7899 / 2 ×

Multiple Choice Question The speed of most modern processors is measured in gigahertz megahertz terahertz kilohertz Ingram Publishing

A ball is launched upward at an angle. The diagram at the right shows approximate values of the horizontal and vertical velocity at 0.0 seconds. For the three times below, identify the size and direction of the vx and vy vectors.

Find the solution of the differential equation that passes through the given point. dy/dx=x^3 y y=-2 e^x[?] /[]

Gravitational acceleration on the moon is approximately one-sixth of that on Earth. A ball released from rest above the surface falls from height d in a time of t=12 seconds. Part (a) Write an expression for the final velocity v of the ball when it impacts the surface of the moon assuming it is dropped from rest. This expression should be in terms of only, 8 (the gravitational acceleration on Earth), and elapsed time, t. Part (b) Calculate the final velocity, yy , in meters per second. Part (c) Calculate the height d, in meters, from which the ball was dropped. Part (d) From how high up would this ball need to be dropped on the earth, de (in meters), if it took the same time to reach the ground as it did on the moon?

Question 15 Multiple Choice Question Points If you wish to visualize data so that the information is represented as vertical bars, create a Line chart Clustered Column Chart Sales Total pie graph

Suppose a large population has mean μ and standard deviation σ, and a simple random sample of size n is taken. The sampling distribution of the sample mean x̄ has mean and variance respectively equal to a) μ / n and σ^2 / n b) μ and σ / n c) μ / n and σ^2 / n. d) μ and σ^2 / n.

Problem 2 A charge of (q1=4.0 mu mathrmC) is at the origin and a charge (q2=2.0 mu C) is at (x=-10 mathrm~m) along the (x)-axis. What is the magnitude and direction of the force on a charge, (q0=2.0 mu mathrmC), at (x=0 mathrm~m, y=1 mathrm~m), due to (q1) and (q2) ?

Determine if the given situation results in a discrete random variable, a continuous random variable, or is not a random variable. The speed of a car on the highway. Discrete random variable Continuous random variable Not a random variable

Multiple Choice Question Rate your confidence in using your phone □ 6 (Extremely confident) □ 5 □ 4 (Neutral) □ 3 □ 2 □ 1 (Not at all confident)

QUESTION 5 Which is the largest ecological system in scale? a. population b. biosphere c. ecosystem d. community

Given: QP TS Prove: QT/TR=PS/SR Statement Reason 1 QP TS 2 ∠RQP ≅ ∠R 3 ∠R ≅ ∠R 4 ΔPQR ∼ ΔSTR 5 QR/TR= /SR Given 2 ∠RQP ≅ ∠RTS 3 ∠R ≅ ∠R 4 . ΔPQR ∼ ΔSTR 5 QR/TR= /SR 6 QR=QT+TR 7 PR=PS+SR 8 (QT+TR)/TR= /SR 9 QT/TR+TR/TR=PS/SR+SR/SR 10 QT/TR+1=PS/SR+1 11 QT/TR= /SR

Solve the problem. If a rock falls from a height of 20 meters on Earth, the height H (in meters) after x seconds is approximately H(x)=20-4.9 x^2 When does the rock strike the ground? Round to the nearest hundredth, if necessary.

A racehorse coming out of the gate accelerates from rest to a velocity of 15.0 m / s due west in 1.80 s. What is its average acceleration?

Error Analysis: A student writes the inequality in interval notation, as shown. x >= 17 [17, infinity] Explain why this is incorrect.

To test the performance of its tires, a car travels along a perfectly flat (no banking) circular track of radius 361 m. The car increases its speed at uniform rate of [ at = fracdvd t=3.01 mathrm~m / mathrms^2 ] until the tires start to skid. If the tires start to skid when the car reaches a speed of (31.5 mathrm~m / mathrms), what is the coefficient of static friction between the tires and the road?

Calculate the average translational kinetic energy, Ek, for one mole of gas at 801 K. Translational kinetic energy is sometimes called average kinetic energy. Ek= J / mol Calculate the average translational kinetic energy for a single gas molecule at 801 K. Ek= J / molecule

Select the correct answer. Kamal is a data center manager at an IT service company. He wants to implement the 802 × authentication framework. Which of these items correctly describes the function of an authentication server? A. to request credentials from the supplicant through the authenticator B. to check if there are any new nodes on the network C. to provide credentials to the supplicant through the authenticator D. to pass on information from the supplicant to the authenticator

The temperature of a sample of copper increased by 23.5°C when 269 J of heat was applied. Substance Specific heat J /(g · °C) --- --- lead 0.128 silver 0.235 copper 0.385 iron 0.449 aluminum 0.903

A rock band is holding a concert in the local park and using three 1000-Watt speakers (totaling 3000 Watts) to project the sound. You visit the concert and consider two seats. Seat A is an average distance of 20 meters from the speakers. Seat B is an average distance of 50 meters from the speakers. How does the decibel rating of the two seats compare when the speakers are blasting at 100% efficiency? The sound at Seat A is 2 dB higher than the sound at Seat B. The sound at Seat A is 2.5 dB higher than the sound at Seat B. The sound at Seat A is 3 dB higher than the sound at Seat B. The sound at Seat A is 8 dB higher than the sound at Seat B.

Find the difference of the following expressions. [ (-5-8 i)-(7-6 i) ]

Perform the indicated operations. [ (-6+sqrt-16)^2 ]

Homework: HW 2 Question Completed: 2 of 23 Part 5 of 5 My score: 1.75 / 23 pts (7.61%) Use the graph of h in the given figure to find the following values or state that they do not exist. (a) h(5) (b) lim x -> 5 h(x) (c) h(7) (d) lim x -> 7 h(x) (e) lim x -> 8 h(x) A. lim x -> 7 h(x)=4 (Type an integer or a decimal.) B. The limit does not exist. (e) Find lim x -> 8 h(x). Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. lim x -> 8 h(x)= (Type an integer or a decimal.) B. The limit does not exist.

Consider the position function (s(t)=sin(pi t)) representing the position of an object moving along a line on the end of a spring. Sketch a graph of (s) together with the secant line passing through ((0, s(0))) and ((0.9, s(0.9))). Determine the slope of the secant line and explain its relationship to the moving object. Determine the slope of the secant line. (msec=0.343) (Round to the nearest thousandth as needed.) What is the relationship of the slope to the velocity of the moving object? A. The slope is the average velocity of the object over the interval ([0,0.9]). B. The slope is the maximum velocity of the object. C. The slope is the instantaneous velocity when (t=0.9). D. The slope is the average velocity of the object over the interval ([0,0.309]).

A small hole in the wing of a space shuttle requires a 16.1 cm^2 patch. What is the patch's area in square kilometers (km^2)? Be sure your answer has the correct number of significant figures. If the patching material costs NASA 3.64/in^2, what is the cost of the patch to the nearest cent? Be sure your answer has the correct number of significant figures.

If an electron is accelerated from rest through a potential difference of 1,500 V, what speed does it reach? 2.3 × 10^7 m / s 1.9 × 10^7 m / s 1.5 × 10^7 m / s 1.1 × 10^7 m / s

We test if artificial sunlight during the winter months lowers one's depression. Without the light, a depression test has μ=8. With the light, our sample with N=41 produced X̄=6. The tcat =-1.83. 1. What are the hypotheses? 2. What is tot ? 3. What is the conclusion? 4. If N had been 50, would the results be significant?

Given: CD bisects AE, AB CD angle E congruent to angle BCA Prove: triangle ABC congruent to triangle CDE

What is the x coordinate of point P, in meters? x=1 m

∫ Al2+1 Al2

Unit Exam - States of Matter and Phase Change The kinetic theory states that particles of matter are always in motion. The amount of energy depends on the state of matter. Particles in a GAS have MORE kinetic energy than particles in a SOLID. Motion: Temperature: The amount of matter: The kind of particles: What happens when temperature is increased to the Kinetic Energy of particles? Congratulations! You have completed the Unit Exam - States of Matter and Phase Change. Temperature The amount of particles The kind of particles

Write the domain set for this function f(x)=1 (x^3-3 x^2-6 x-8)

A -6.5 μC charge experiences a downward electric force of 5.9 N. Find the magnitude and direction of the electric field at the position of this charge.

It's All Uphill Interactive Background: In this Interactive, you will analyze the motion of a cart being pulled up an inclined plane at a constant speed. The angle of the incline can be modified by 10° increments between the values of 30° and 90°. Three different masses can be selected - 2.0 kg, 3.0 kg, and 4.0 kg. In each simulation, the cart is pulled to the same height -1.0 meter above the original starting position. For each simulation, the force that must be applied is reported on the screen. The displacement of the cart can be measured using the cm ruler that is displayed for each trial. Purpose: To determine the effect of the angle of an inclined plane upon the amount of force and the amount of work done when pulling a cart up an inclined plane at a constant speed and to the same height. Discussion of Procedure: Select a mass from one of the three choices. Tap the Run Trial button. The force required to pull the cart at a constant speed is displayed on the screen; record in the Data Table. The displacement from the starting position to the final position can be measured using the cm ruler; record in the Data Table. (Note that the table lists meters as the unit.) The force and the displacement vectors are both directed parallel to the inclined plane. Use the force and displacement to calculate the work done. Repeat the procedure for all angles. Data tables are provided for a single cart mass. Additional tables can be made if necessary. Data: Mass: kg Angle ( ° ) Force (N) Displacement (m) Work (J) 30.0 40.0 50.0 60.0 70.0 80.0 90.0

Convert 40.5 miles per hour to m / s .(1 km=0.621371 mi)

Given the graph, find the following: Domain: Range: x-intercept(s): y-intercept: End Behaviors: Vertex: Increasing Interval(s): Decreasing Interval(s):

Ended Questions: Answer the following questions in complete sentences: 1. Explain how volcanic eruptions can be both constructive and destructive forces.

A sample of 420 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. No college degree Two-year degree Four-year degree Advanced degree Urban 31 43 23 28 Suburban 47 45 46 25 Rural 23 15 47 47 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a four-year degree? Round your answer to two decimal places.

Physics

New Questions