Question

A non zero force acting on a body can do zero work on it.

• A. True
• B. False

Answer 1

The correct option is A True

1. The work is defined as the dot product of force and displacement of the object on which the force is acting on it.
   $$\begin{gathered} W=F.s \\ W=Fs\cos 𝛉 \end{gathered}$$
   Where F is the force,
   s is the displacement and,
   𝛉 is the angle between the force and displacement.
2. Since, the force is non-zero, the factors which make the work zero is either displacement or angle 𝛉.
   $$\begin{gathered} If𝛉=90𝆩, \\ thenW=Fs\cos 90𝆩 \\ W=0. \end{gathered}$$
   IF displacement is zero, then the work done is zero.

Hence, the given statement is True.