A bullet of mass
moves horizontally at a speed of
is fired into a wooden block of mass
suspended by a long string. The bullet crosses the block and emerges on the other side. If the centre of the mass of the block rises through a height of
. The speed of the bullet as it emerges from the block is (take,
)
Text Solution
Verified by ExpertsD
From the given situation,

Initial momentum of the bullet
Let final velocities of bullet and block are
and
respectively.
If the system rises up to height
then by conservation of energy

By the conservation of linear momentum

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