When a force of 50 N is applied on an object of 5 kg, it covers a horizontal distance of 5 m. Calculate the amount of work done in this case.

A : 150 J
B : 0 J
C : 1250 J
D : 250 J
General Science
Physics
Work Power Energy
Answer
Option 4 : 250 J
Explanation

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) = 50 , Displacement (s) = 5 m and  θ = 0 (because the force is in the direction of motion)

To find the amount of work done in this case, we must apply the following formula:

⇒ W = Fs cosθ

⇒ W = 50 × 5 = 250 J