Question:
The work done by a centripetal force is:
The work done by a centripetal force is:
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Force perpendicular to motion? Work is always Zero!
Updated On: May 4, 2026
- Positive
- Negative
- Zero
- Infinite
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The Correct Option is C
Solution and Explanation
Step 1: Concept
Work done is defined as $W = \vec{F} \cdot \vec{d} = Fd \cos \theta$, where $\theta$ is the angle between force and displacement.
Step 2: Meaning
Centripetal force always acts towards the center of the circular path.
Step 3: Analysis
In uniform circular motion, the instantaneous displacement is tangential to the circle, while the centripetal force is radial. Therefore, the angle $\theta$ between them is always $90^{\circ}$.
Step 4: Conclusion
Since $\cos 90^{\circ} = 0$, the work done by the centripetal force is always zero. Final Answer: (C)
Work done is defined as $W = \vec{F} \cdot \vec{d} = Fd \cos \theta$, where $\theta$ is the angle between force and displacement.
Step 2: Meaning
Centripetal force always acts towards the center of the circular path.
Step 3: Analysis
In uniform circular motion, the instantaneous displacement is tangential to the circle, while the centripetal force is radial. Therefore, the angle $\theta$ between them is always $90^{\circ}$.
Step 4: Conclusion
Since $\cos 90^{\circ} = 0$, the work done by the centripetal force is always zero. Final Answer: (C)
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