A force of 12 N displaces a body by 60 cm in its direction. The work done on the body will be

CONCEPT:

• Work is said to be done by a force when the body is displaced actually through some distance in the direction of the applied force.
• Since the body is being displaced in the direction of F, therefore work done by the force in displacing the body through a distance s is given by:

\(W = \vec F \cdot \vec s\)

Or, W = Fs cos θ

• Thus work done by a force is equal to the scalar or dot product of the force and the displacement of the body.

CALCULATION:

Given that:

Force (F) = 12 N

Displacement (s) = 60 cm = 60/100 = 0.6 m

The force (F) and displacement (s) are in the same direction, so θ = 0° 

Work done = Fs cos θ = 12 × 0.6 × 1 = 7.2 J

Hence option 2 is correct.