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A shell is fired from a cannon with a ve...

A shell is fired from a cannon with a velocity V at an angle `theta` with the horizontal direction. A the highest point i its path, it explodes into two pieces of equal masses. One of the pieces retraces its path to the cannon. The speed of the other priece immediately after the explocison is

A

`3vcostheta`

B

`2vcostheta`

C

`3/2vcostheta`

D

`sqrt(3/2)vcostheta`

Text Solution

Verified by Experts

The correct Answer is:
A
From conservation of linear momentum:

`m(v costheta) = (m/2)v^(') -(m/2)v costheta`
`therefore` `v^(') = 3vcostheta`
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