A bullet of mass 10 g moving horizontally with a velocity of
strikes a wooden block of mass 2 kg which is suspended by light inextensible string of length 5 m.
As a result, the center of gravity of the block is found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges out horizontally from the block will be
Text Solution
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Given, mass of bullet,

Velocity,
Mass of wooden block,
Length of string,
Let the velocity of bullet and the block after collision be
and
.
Block rises,
PE at the maximum height
at bottom of the block


Let
be the initial velocity of the bullet, then according to the conservation of momentum,



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