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Q.

A bullet of mass 5 gm moving with a velocity of 20 ms−1 strikes a plank of wood of mass 15 gm suspended by a thread and gets embedded in it. Find the velocity of the plank with bullet immediately after collision and vertical height through which the combined mass rises(g=10ms–2)

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a

5 m/s, 1.25 m

b

0.5 m/s, 0.014 m

c

1 m/s, 0.056 m

d

0.25 m/s, 0.082 m

answer is A.

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Detailed Solution

v=mum+M=5×205+15=5 ms−1 h=v22g=5×52×10=1.25 m

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A bullet of mass 5 gm moving with a velocity of 20 ms−1 strikes a plank of wood of mass 15 gm suspended by a thread and gets embedded in it. Find the velocity of the plank with bullet immediately after collision and vertical height through which the combined mass rises(g=10ms–2)