## Physics: Principles with Applications (7th Edition)

Published by Pearson

# Chapter 3 - Kinematics in Two Dimensions; Vectors - Problems: 13

#### Answer

a. A – B + C = (53.67 units, -32.31 units). Magnitude 62.6, direction -31.0$^o$. b. A + B - C = (24.03 units, 73.63 units). Magnitude 77.5, direction 71.9$^o$. c. C - A - B = (-24.03 units, -73.63 units). Magnitude 77.5, direction 251.9$^o$.

#### Work Step by Step

Use equations 3.3a and 3.3b to find the x and y components. Vector B points at 124 degrees and vector C points at 270 degrees from the positive x-axis. Vector A = (38.85, 20.66) Vector B = (-14.82, 21.97) Vector C = (0, -31) a. Take the difference by adding and subtracting multiples of the corresponding components. A – B + C = (53.67 units, -32.31 units) b. Take the difference by adding and subtracting multiples of the corresponding components. A + B - C = (24.03 units, 73.63 units) c. Take the difference by adding and subtracting multiples of the corresponding components. C - A - B = (-24.03 units, -73.63 units) Note that the answer to part C is the opposite of the answer to part B.

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