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A frequently used device to measure the ...

A frequently used device to measure the speed of bullets is the ballistic pendulum. It comprises of a heavy block of wood of mass M suspended by two long chords. A bullet of mass m is fired into the block horizontally. The block, with the bullet embedded in it, swings upwards. The centre of mass of the combination rises through a vertical distance h before coming to rest momentarily. In a particular experiment, a bullet of mass 40 gm is fired into a wooden block of mass 10 kg. The block is observed to rise by a height of 20.0 cm.

Initial speed of the bullet is

A

549 m/s

B

502 m/s

C

475 m/s

D

625 m/s

Text Solution

Verified by Experts

The correct Answer is:
B
`m u=(M+m)v=(M+m)sqrt(2gh)`
`rArr u=(M+m)/(m)sqrt(2gh)=(10+(40)/(1000))/((40)/(1000))xx sqrt(2xx10xx(20)/(100))=502 m//s`
`therefore` (B)
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