A body $X$ of mass $5 k g$ is moving with velocity $20 m s^{- 1}$ while another body Y of mass $20 k g$ is moving with velocity $5 m s^{- 1}$ . Compare the momentum of the two bodies.

1 : 4

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4 : 1

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1 : 2

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1 : 1

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Solution

The correct option is C $1 : 1$
For body X,
mass: $m_{X} = 5 k g$
velocity: $v_{X} = 20 m / s$
$∴$ momentum: $p_{X} = m_{X} \times v_{X} = 5 \times 20 = 100 k g m / s$

For body Y,
mass: $m_{Y} = 20 k g$
velocity: $v_{Y} = 5 m / s$
$∴$ momentum: $p_{Y} = m_{Y} \times v_{Y} = 20 \times 5 = 100 k g m / s$

So, $p_{X} : p_{Y} = 1 : 1$

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