First slide
Vertical circular motion
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)

Moderate
Solution

From momentum conservation,

mu=mu4+(6m)5×10×0.5
Solving, we get 

u=40 ms-1

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