10
QuizMultiple Choice

Dot Product and Work

Question 10 • Precalculus

A force of 10 newtons acts in a direction 75° above horizontal, moving an object 15 meters from (0, 0) to (15, 0). What is the work done by the force?

Answer
A
2.59 joules
B
3.88 joules
C
38.82 joules
D
150.00 joules

Explanation

Work is the force component in the direction of motion multiplied by the displacement: W = Fd cos θ. The displacement is 15 m horizontally, while the 10 N force is 75° above horizontal, so W = 10 × 15 × cos 75° ≈ 38.82 J. Therefore, the correct choice is 38.82 joules.

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