Question Detail

PHY 101 Work, Energy and Power Objective Question

Question

A force F pulls a block a distance s along a horizontal surface at an angle θ above the horizontal. What is the correct expression for the work done by the force F?
Options
A W = F s
B W = F s sin θ
C W = F s cos θ
Correct Answer
D W = F s tan θ
Correct Answer

Option C is the correct answer.

Detailed Explanation

The work done by a constant force is the product of the displacement and the component of the force parallel to the displacement. The component of F parallel to the horizontal displacement is F cos θ. Therefore, the work done is W = (F cos θ) × s = F s cos θ.

Hint

Only the component of the force that acts in the direction of the motion does work.

Question Info