4
QuizMultiple Choice

Dot Product and Work — Unit test

Question 4 • Precalculus

A force of 50 pounds acts in a direction 60° above horizontal, moving an object 100 feet from (0, 0) to (100, 0). How much work is done by the force?

Answer
A
25 foot-pounds
B
50 foot-pounds
C
2,500 foot-pounds
D
5,000 foot-pounds

Explanation

Work is force times displacement in the direction of the force: W = Fd cos θ. The displacement is 100 feet horizontally, while the 50-pound force is at 60° to that direction, so W = 50 × 100 × cos 60° = 5,000 × 0.5 = 2,500 foot-pounds. The correct choice is 2,500 foot-pounds.

AI-written and checked against the verified answer.

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