The displacement vectors A and B shown in the figure below both have magnitudes of 2.35 m. The direction of vector A is e = 40.0°. (a) Find A + B graphically. 3.9078 magnitude m direction 63.46 ° counterclockwise from the +x axis (b) Find A – B graphically. magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. m direction X ° counterclockwise from the +x axis (c) Find B - A graphically. magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. m 144.5 direction ° counterclockwise from the +x axis (d) Find A - 2B graphically. magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. m direation countorcleckkwice from the Ly avie

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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The displacement vectors Á and B shown in the figure below both have magnitudes of 2.35 m. The direction of vector Ả is e = 40.0°.
(a) Find Á + B graphically.
magnitude
3.9078
direction
63.46
° counterclockwise from the +x axis
(b) Find A - B graphically.
magnitude
Your response differs from the correct answer by more than 10%. Double check your calculations. m
direction
X ° counterclockwise from the +x axis
(c) Find B - Ā
graphically.
magnitude
Your response differs from the correct answer by more than 10%. Double check your calculations. m
144.5
direction
° counterclockwise from the +x axis
(d) Find A – 2B graphically.
magnitude
Your response differs from the correct answer by more than 10%. Double check your calculations. m
direction
° counterclockwise from the +x axis
Transcribed Image Text:The displacement vectors Á and B shown in the figure below both have magnitudes of 2.35 m. The direction of vector Ả is e = 40.0°. (a) Find Á + B graphically. magnitude 3.9078 direction 63.46 ° counterclockwise from the +x axis (b) Find A - B graphically. magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. m direction X ° counterclockwise from the +x axis (c) Find B - Ā graphically. magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. m 144.5 direction ° counterclockwise from the +x axis (d) Find A – 2B graphically. magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. m direction ° counterclockwise from the +x axis
Expert Solution
Step 1

Given information:

the magnitude of the vector A and B = 2.35 m

The angle made by vector A with x axis (θ) = 40.00 

we can write the vector A and B as:

A=2.35 cos40 i+2.35 sin40 jA=1.80 i+1.51 jB =2.35 j

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