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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 :

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a

E2

b

E5

c

3E5

d

2E5

answer is C.

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Detailed Solution

According Conservation of Linear Momentum0=2MV1 − 3MV2 −−−−(1)E=12 2MV12 + 12 3MV22 =K1+12 3MV22 −−−−−(2)1 ⇒ V2 = 2V13 −−−−−(3)(3) in (2) and solve we getK1=3E5

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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 :