Work is said to be one Joule when a force of

Work is said to be one Joule when a force of

4 N moves an object by 25 cm.
2 N moves an object by 1 m.
1 N moves an object by 1 cm.
1 N moves an object by 50 cm.
This question was previously asked in
UPSC NDA-2 – 2021
Work done by a force is defined as the product of the force applied and the displacement of the object in the direction of the force. The SI unit of work is the Joule (J). One Joule of work is done when a force of one Newton (N) moves an object by one meter (m) in the direction of the force.
The formula for work (W) is W = F × d, where F is the force and d is the displacement in the direction of the force. 1 Joule = 1 Newton × 1 meter. We need to check which option results in W = 1 J.
Option A: F = 4 N, d = 25 cm = 0.25 m. W = 4 N × 0.25 m = 1 N·m = 1 J.
Option B: F = 2 N, d = 1 m. W = 2 N × 1 m = 2 J.
Option C: F = 1 N, d = 1 cm = 0.01 m. W = 1 N × 0.01 m = 0.01 J.
Option D: F = 1 N, d = 50 cm = 0.5 m. W = 1 N × 0.5 m = 0.5 J.
Work is a scalar quantity. If the force and displacement are not in the same direction, the work done is calculated as W = Fd cos(θ), where θ is the angle between the force and displacement vectors. In the context of this question, it is implied that the force and displacement are in the same direction.
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