A force F is applied to a body P as shown in the diagram above. If the body P moves through a distance r, which of the following represents the work done?

A force F is applied to a body P as shown in the diagram above. If the body P moves through a distance r, which of the following represents the work done?

Answer Details

Work done (W) is defined as the product of force (F) and displacement (s) in the direction of force. In the given diagram, the force F is acting at an angle ? to the direction of displacement, and the displacement is given by r. Therefore, the work done can be calculated as follows:
W = F x r cos?
Here, F represents the magnitude of the force, r represents the displacement of the body, and cos? represents the cosine of the angle between the force and displacement vectors.
Therefore, the correct option for the work done is Fx cos?.