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Question

A bomb at rest on a horizontal frictionless surface explodes and breaks into three pieces that fly apart horizontally as shown below. Select all of the following statements that must be true after the bomb has exploded.

1. The total kinetic energy of the bomb fragments is the same as that of the bomb before explosion.
2. The total momentum of the bomb fragments is the same as that of the bomb before explosion.
3. The total momentum of all the bomb fragments together is zero.


A

1 only

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B

3 only

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C

2 only

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D

1, 2, and 3

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Solution

The correct option is B

3 only


If initial momentum of the bomb is zero when it is at rest, the total momentum of all the bomb fragments together after the explosion must add vectorially to zero, which means total momentum before and after the explosion must be the same.


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