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 velocityThe work done by a force F in displacing a particle through d is:W=→F⋅→d=FdcosθIf θ=90oW=Fdcos90o=0Now direction of displacement is same as the direction of velocity.So if force is always perpendicular to the velocity then no work is done.

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