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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)

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a

10 ms-1

b

20 ms-1

c

30 ms-1

d

40 ms-1

answer is D.

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Detailed Solution

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

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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)