In which of the following cases is work done maximum?

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Solution

The correct option is A

Explanation for the correct option
A: zero
Work done is expressed 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 ∅ = 0°, cos 0° = 1
W = F x s x 1
W = Fs
Explanation for the incorrect options
B: 45°
W = F x s x cos ∅
When ∅ = 45°, cos 45° = $\frac{1}{\sqrt{2}}$ = 0.707
W = F x s x 0.707
W = 0.707 Fs
C: 90°
W = F x s x cos ∅
When ∅ = 90°, cos 90° = 0
W = F x s x 0
W = 0
D: 60°
W = F x s x cos ∅
When ∅ = 60°, cos 60° = $\frac{1}{2}$ = 0.5
W = F x s x 0.5
W = 0.5 Fs
Thus, for maximum work, angle between the direction of force and displacement must be zero.

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