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Q.

A bomb of mass 3m is kept inside a closed box of mass 3m and length 4L at its centre. It explodes in two parts of mass m and 2m. The two parts move in opposite directions and stick to the opposite sides of the walls of box. The box is kept on a smooth horizontal surface.What is the distance moved by the box during this time interval.

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a

0

b

L6

c

L12

d

L3

answer is D.

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Detailed Solution

Let box moves towards right by a distance x, then displacement of 2m is x+2L and displacement of m is x-2L towards right.         Δxcm=m1Δx1+m2Δx2+m3Δx3m1+m2+m3⇒    0=3mx+2m(x+2L)+m(x−2L)⇒ x=−L3
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