Conservation of Linear Momentum

AP Physics 1· difficulty 4/5

A stationary firework of mass 3.0kg3.0\,\text{kg} explodes into two pieces. A 1.0kg1.0\,\text{kg} fragment moves east at 12m/s12\,\text{m/s}. What is the velocity of the 2.0kg2.0\,\text{kg} fragment?

  • A

    6.0m/s6.0\,\text{m/s} east

  • B

    3.0m/s3.0\,\text{m/s} west

  • C

    6.0m/s6.0\,\text{m/s} west

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  • D

    12m/s12\,\text{m/s} west

Explanation

Momentum conservation: 0=(1)(12)+(2)vv=6.0m/s0=(1)(12)+(2)v\Rightarrow v=-6.0\,\text{m/s} (west).

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