Questions: The displacement vectors A and B shown in the figure below both have magnitudes of 3.85 m. The direction of vector A is θ=39.0 degrees counterclockwise from the +x axis. (C) Find B-A graphically. magnitude m direction degrees counterclockwise from the +x axis (d) Find A-2B graphically. magnitude m direction degrees counterclockwise from the +x axis

The displacement vectors A and B shown in the figure below both have magnitudes of 3.85 m. The direction of vector A is θ=39.0 degrees counterclockwise from the +x axis. (C) Find B-A graphically. magnitude m direction degrees counterclockwise from the +x axis (d) Find A-2B graphically. magnitude m direction degrees counterclockwise from the +x axis
Transcript text: The displacement vectors $\overrightarrow{\mathbf{A}}$ and $\overrightarrow{\mathbf{B}}$ shown in the figure below both have magnitudes of 3.85 m. The direction of vector $\mathbf{A}$ is $\theta=39.0$ degrees counterclockwise from the $+x$ axis. (C) Find $\mathbf{B}-\vec{A}$ graphically. magnitude $\square$ m direction $\square$ degrees counterclockwise from the $+x$ axis (d) Find $\overrightarrow{\mathbf{A}}-2 \overrightarrow{\mathbf{B}}$ graphically. magnitude $\square$ m direction $\square$ degrees counterclockwise from the $+x$ axis
failed

Solution

failed
failed

Solution Steps

Step 1: Understanding the Problem

The problem involves two displacement vectors, A and B, both with magnitudes of 3.85 m. The direction of vector A is given as θ = 39.0° counterclockwise from the +x axis. We need to find the magnitude and direction of vector B and then solve for B - A graphically.

Step 2: Analyzing Vector B

Since vector B is shown to be along the y-axis in the figure, its direction is 90° counterclockwise from the +x axis.

Step 3: Finding B - A Graphically

To find B - A graphically, we need to:

  1. Draw vector A at 39.0° from the +x axis.
  2. Draw vector B at 90° from the +x axis.
  3. Use the head-to-tail method to subtract vector A from vector B.

Final Answer

  • Magnitude of B: 3.85 m
  • Direction of B: 90° counterclockwise from the +x axis

For B - A:

  • Magnitude: Use the Pythagorean theorem to find the resultant vector.
  • Direction: Use trigonometry to find the angle of the resultant vector.

(Note: The exact numerical values for the magnitude and direction of B - A would require further calculation, which involves breaking down vectors into components and then using vector addition/subtraction rules.)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
What is occurring in this area of the diagram? cytokinesis Go phase G1 phase G2 phase interphase mitosis M phase S phase
failedAnswered
Enter the value of ∑ from n=3 to 5 of (n+2)
failedAnswered
Uniting reactants Aqueous hydrobromic acid (HBr) will react with solid sodium hydroxide (NaOH) to produce aqueous sodium bromide (NaBr) and liquid water (H2O). Suppose 42.9 g of hydrobromic acid is mixed with 28 g of sodium hydroxide. Calculate the maximum mass of sodium bromide that could be produced by the chemical reaction. Be sure your answer has the correct number of significant digits.
failedAnswered
What best describes the purpose of the IRB? To review proposals for research that involves human participants. To ensure that new research meaningfully adds to the scientific literature. To review operational definitions in experiments. To ensure that every research proposal has a clear and falsifiable hypothesis.
failedAnswered
110° 110°