Question

Work done by conservative force on a body depends

• A. only on the magnitude of external force applied on the body.
• B. only on the magnitude of internal force of the body.
• C. only on the displacement of the body and the component of the external force acting in the direction of its displacement.
• D. none of the above

Answer 1

The correct option is C only on the displacement of the body and the component of the external force acting in the direction of its displacement.

For work to be done there needs to be a force applied and a displacement produced in any direction except in a perpendicular direction to the force.

Thus, the work done an a body due to net force $=force\times displacement.$

Always, the total force applied on a body may not be responsible for its motion and a component of force can also cause displacement in the body.

$\therefore$Work done$=$(component of force acting in the direction of displacement of body) $\times$ displacement $=\left(Fcos\theta \right)\times s$