Question Detail

PHY 101 Work, Energy and Power Objective Question

Question

Under what condition is the work done by a force zero, even when the object on which it acts is displaced?
Options
A When the force is parallel to the displacement.
B When the force is perpendicular to the displacement.
Correct Answer
C When the force is greater than the frictional force.
D When the displacement is zero.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Work is given by W = F d cos θ, where θ is the angle between the force and displacement vectors. If the force is perpendicular to the displacement, θ = 90° and cos 90° = 0, so the work done is zero. An example is the normal force doing no work on an object moving horizontally.

Hint

Consider the role of the angle between the force and the direction of motion in the work formula.

Question Info