A bullet of mass m moving with a horizontal velocity u strikes a stationary wooden block of mass M suspended by a string of length L $$=$$ $$50$$ cm. The bullet emerges out of the block with speed $$u4$$. If M $$=$$ $$6$$ m, the minimum value of u, so that the block can complete the vertical circle, is (Take$$, θ $$=$$ $$10$$ $$ms-2)

Question

A bullet of mass m moving with a horizontal velocity u strikes a stationary wooden block of mass M suspended by a string of length L $$=$$ $$50$$ cm. The bullet emerges out of the block with speed $$u4$$. If  M $$=$$ $$6$$ m, the minimum value of u, so that the block can complete the vertical circle, is (Take$$, θ $$=$$ $$10$$ $$ms-2)

Infinity Learn · Accepted Answer

From momentum conservation,$$mu=mu4+(6m)5$$×$$10$$×$$0.5Solving$$, we get $$u=40$$ $$ms-1$$

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