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A body initially at rest, breaks up into...

A body initially at rest, breaks up into two pieces of masses 2 M and 3 M respectively, together having a total kinetic energy E. The piece of mass 2 M. after breaking up, has a kinetic energy.

A

`(2E)/(5)`

B

`E/2`

C

`E/5`

D

`(3E)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D


`F_(ext)=0`
`vecP`=constant
K.E=`(P^2)/(2m)impliesK.E prop 1/m`
`therefore K.E_(2M)=(3E)/(5)`
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