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Question

No work is done by a force on an object if 


A
the force is always perpendicular to its velocity
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B
the force is always perpendicular to its acceleration
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C
the object is stationary but the point of application of the force moves on the object
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D
the object moves in such a way that the point of application of the force remains fixed.
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Solution

The correct option is A the force is always perpendicular to its velocity
The work done by a force F in displacing a particle through d is:
$$W=\vec{F}\cdot \vec{d}=Fd\cos \theta$$
If $$\theta =90^o$$
$$W=Fd\cos 90^o=0$$
Now direction of displacement is same as the direction of velocity.
So if force is always perpendicular to the velocity then no work is done.

Physics

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