5
AssignmentMultiple Choice

Applying Vectors in the Plane

Question 5 • Precalculus

He is pulling 400 feet over level ground by exerting a constant 25-pound force on the bar that makes an angle of 30° with the ground. How much work is Thomas doing to pull the wagon?

Answer
A
10,000 foot-pounds
B
8,660 foot-pounds
C
7,070 foot-pounds
D
5,000 foot-pounds

Explanation

Work is the force in the direction of motion multiplied by the distance. Since the wagon moves horizontally and the 25-pound force is angled 30° above the ground, the horizontal force is 25 cos(30°) ≈ 21.65 pounds. Thus, the work is 21.65 × 400 ≈ 8,660 foot-pounds, so the answer is B, 8,660 foot-pounds.

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