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Question: At the instant t = 0 a force F = kt (k is a constant) acts on a small body of mass m resting on a sm...

At the instant t = 0 a force F = kt (k is a constant) acts on a small body of mass m resting on a smooth horizontal surface. The time, when body leaves the surface is –

A

mg k sin a

B

k sin a/mg

C

mg sin a/k

D

mg/ k sin a

Answer

mg/ k sin a

Explanation

Solution

N+F sin a = mg

N = 0 so

kt sin a = mg

t = mgksinα\frac { \mathrm { mg } } { \mathrm { k } \sin \alpha }