No work is done when an object moves
at 90° to the direction of force
Explanation for the correct option
D: at 90° to the direction of force
Work done is defined as the product of force and distance moved in the direction of the force.
W = Force x displacement x angle between force and displacement
W = F x s x cos ∅
When ∅ = 90° , cos 90° = 0
W = F x s x 0
W = 0
Explanation for the incorrect options
A: along the direction of force
If ∅ = 0° , cos ∅ = 1 and W > 0
B: opposite to the direction of force
If ∅ = 180° , cos ∅ = -1 and W < 0
C: at any angle to the direction of force
If 0° < ∅ < 180°, but ∅ ≠ 90° then W ≠ 0
Hence, no work is done when an object moves at 90° to the direction of the force.