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A variable force acts on a body of mass ...

A variable force acts on a body of mass m (initially at rest) from t = 0 to t = `t_(0)`. The curve of F plotted versus t is semicircle as shown, then -

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A time varying force F=6t-2t^(2)N , at t=0 starts acting on a body of mass 2kg initially at rest, where t is in second. The force is withdrawn just at the instant when the body comes to rest again. We can see that at t=0 the force F=0 . Now answer the following: Find the duration for which the force acts on the body.

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