If a force acts on a body but no displacement occurs, the work done is:
Zero
To determine the work done when a force acts on a body without causing any displacement, we need to understand the concept of work in physics. The work done by a force is mathematically defined as:
\(W = F \cdot d \cdot \cos(\theta)\)
where:
- \(W\) = work done
- \(F\) = magnitude of the force applied
- \(d\) = displacement of the object
- \(\theta\) = angle between the force and the direction of displacement
In the given scenario, it is mentioned that the force acts on the body but no displacement occurs, which means \(d = 0\). Substituting this into the formula, we get:
\(W = F \cdot 0 \cdot \cos(\theta) = 0\)
This implies that when there is no displacement, no matter the magnitude of the force or the angle, the work done is zero.
Conclusion: The correct option is "Zero" because work done is directly proportional to the displacement, and with zero displacement, the work is zero.
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