Questions: Question 5 1 pts Crow on roof Part E Problem A 0.680 kg crow slides down an inclined roof, as shown in the figure. The roof makes an angle of 30.0° with respect to the horizontal. There is negligible friction between the roof and the crow. Use g=9.80 m / s^2. Using your answers from parts (a) through ( d ), what can you conclude about how the choice of a coordinate system affects the acceleration found via a force analysis? (There may be more than one correct statement here.) The x - and y -components of a vector remain unchanged when a different coordinate system is used. The x - and y-components of a vector change when a different coordinate system is used. The magnitude of a vector remains unchanged when a different coordinate system is used. The magnitude of a vector changes when a different coordinate system is used.

Question 5 1 pts Crow on roof Part E Problem A 0.680 kg crow slides down an inclined roof, as shown in the figure. The roof makes an angle of 30.0° with respect to the horizontal. There is negligible friction between the roof and the crow. Use g=9.80 m / s^2. Using your answers from parts (a) through ( d ), what can you conclude about how the choice of a coordinate system affects the acceleration found via a force analysis? (There may be more than one correct statement here.) The x - and y -components of a vector remain unchanged when a different coordinate system is used. The x - and y-components of a vector change when a different coordinate system is used. The magnitude of a vector remains unchanged when a different coordinate system is used. The magnitude of a vector changes when a different coordinate system is used.
Transcript text: Question 5 1 pts Crow on roof Part E | Problem A 0.680 kg crow slides down an inclined roof, as shown in the figure. The roof makes an angle of $30.0^{\circ}$ with respect to the horizontal. There is negligible friction between the roof and the crow. Use $\mathrm{g}=9.80 \mathrm{~m} / \mathrm{s}^{2}$. Using your answers from parts (a) through ( $d$ ), what can you conclude about how the choice of a coordinate system affects the acceleration found via a force analysis? (There may be more than one correct statement here.) The x - and y -components of a vector remain unchanged when a different coordinate system is used. The $x$ - and $y$-components of a vector change when a different coordinate system is used. The magnitude of a vector remains unchanged when a different coordinate system is used. The magnitude of a vector changes when a different coordinate system is used.
failed

Solution

failed
failed

Solution Steps

Step 1: Understanding the Problem

The problem involves analyzing how the choice of a coordinate system affects the components and magnitude of a vector, specifically in the context of a crow sliding down an inclined roof. The key is to understand the properties of vectors when coordinate systems are changed.

Step 2: Analyzing Vector Components

When a vector is expressed in terms of its components in a particular coordinate system, changing the coordinate system (e.g., rotating the axes) will generally change the components of the vector. This is because the components are projections of the vector onto the axes, which depend on the orientation of the axes.

Step 3: Analyzing Vector Magnitude

The magnitude of a vector is a scalar quantity that represents the length of the vector. It is calculated as the square root of the sum of the squares of its components. The magnitude is invariant under a change of coordinate system because it is independent of the orientation of the axes.

Final Answer

  • The \(x\)- and \(y\)-components of a vector change when a different coordinate system is used.
  • The magnitude of a vector remains unchanged when a different coordinate system is used.

\[ \boxed{\text{The } x \text{- and } y\text{-components of a vector change when a different coordinate system is used.}} \] \[ \boxed{\text{The magnitude of a vector remains unchanged when a different coordinate system is used.}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Which of the following intermediates is thought to occur in the mechanism by which alkenes are hydrated in the presence of acid? carbanion carbocation free radical alkyne carbene
failedAnswered
Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x̄=0.82409 lb, s=0.00567 lb. Use a confidence level of 95% to complete parts (a) through (d) below. a. Identify the critical value tα/2 used for finding the margin of error. tα/2=2.03 (Round to two decimal places as needed.) b. Find the margin of error. E=0.00192 lb (Round to five decimal places as needed.) c. Find the confidence interval estimate of μ. 0.82217 lb<μ<0.82601 lb (Round to five decimal places as needed.)
failedAnswered
The future value of 0.25 growing at 10.75 percent per year for 15 years is formula: FV = PV x (1+r)^n.
failedAnswered
Question 67 A tendon is a band of connective tissue that attaches and stabilizes one bone to another within a joint. (A) False (B) True Question 68
failedAnswered
Problem. 14: A certain small college's student enrollment is growing at the rate of P'(t) = 2900 / ((1/5 t + 1)^(3/2)) students per year, t years from now. If the current student enrollment is 1200, find an expression giving the enrollment t years from now. What will the enrollment be 5 years from now (round your answer to the nearest student).