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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 (m//sec.)` at an angle `theta` with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and the speed (in `m//sec.`) of the other piece immediately after the explosion is

A

`3 v cos theta`

B

`2 v cos theta`

C

`(3)/(2) v cos theta`

D

`(sqrt(3))/(2) v cos theta`

Text Solution

Verified by Experts

The correct Answer is:
A
Momentum conservation at the highest point
`2 mv cos theta = - mv cos theta + mv'`
`v' = 3 v cos theta`
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