Zero
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. It is a scalar quantity calculated as the product of the force component in the direction of displacement and the magnitude of the displacement.
The mathematical formula for work ($W$) is:
$W = F \cdot s \cdot \cos\theta$
Where:
- $F$ is the magnitude of the force applied.
- $s$ is the displacement of the object.
- $\theta$ is the angle between the force vector and the displacement vector.
Analysis:
According to the formula, the magnitude of work is directly proportional to the force applied. If the force acting on the object is zero ($F = 0$), the equation becomes:
$W = 0 \cdot s \cdot \cos\theta = 0$
Consequently, if no force is applied, the work done is strictly zero, regardless of the object's mass or velocity.
Key Takeaway:
For work to be done scientifically, three conditions are essential: a force must be applied, there must be displacement, and the angle between force and displacement must not be 90°. If the net force is zero, the work done is always zero.