Can work be done on a system if there is no motion?

a) yes, if an outside force is provided
b) yes, since motion is only relative
c) no, since a system which is not moving has no energy
d) no, because of the way work is defined

D) No, because of the way work is defined

Explanation:

The work done on an object is given by:

where

F is the force applied on the object

d is the displacement of the object

is the angle between the direction of the force and the displacement

From the formula, we observe that if there is no motion involved, then the displacement of the object is zero:

d = 0

As a result, the product in the formula is also zero, therefore the work done will be zero as well.

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