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A bomb of mass 3m is kept inside a close...

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 the opposite directions and stick to the opposite sides of the walls of the box. The box is kept on a smooth horizontal surface. What is the distnace moves by the box during this time interval.

A

`0`

B

`L/6`

C

`L/12`

D

`L/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Let the box move towards the right by a distance x then the displacement of `2m` is `x+2L` and the displacement of `m` is `x-2L` towards the right.

`/_\x_(CM)=(m_1/_\_1+m_2/_\x_2+m_3/_\x_3)/(m_1+m_2+m_3)`
`implies 0=3mx+2m(x+2L)+m(x-2L)`
`implies x=-L/3`
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Knowledge Check

  • 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.

    A
    `0`
    B
    `L/6`
    C
    `L/12`
    D
    `L/3`

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