What happens to the work done if the displacement becomes zero despite a force being applied?

Correct Option: The work done is zero.

Step-by-Step Explanation:

In physics, work is defined as the measure of energy transfer that occurs when an object is moved over a distance by an external force.

The mathematical formula for work done (W) is given by:

$W=F·s·\cos \left(\theta \right)$

Where:

• F is the magnitude of the applied force.
• s is the magnitude of the displacement of the object.
• θ is the angle between the force vector and the displacement vector.

According to the question, the displacement of the object is zero (s = 0).

Substituting s = 0 into the work formula:

$W=F·0·\cos \left(\theta \right)=0$

Regardless of how large the applied force F is, multiplying by a displacement of zero results in zero total work being done on the object.

Therefore, if the displacement becomes zero, the work done is zero.