A body of mass 2 kg , initially moving with a velocity of 10 m/s collides with another body of mass 5 kg at rest. After collision velocity of first body becomes 1 m/s . Find the velocity of the second body.

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Solution

Given,
Mass $M_{1}$ =2 KG
Mass $M_{2}$ = 5 kg
Initial velocity $U_{1}$ = 10 m/s
Initial velocity $U_{2}$ =0 m/s
Final velocity $V_{1}$ = 1 m/s
We have to find the velocity of second body after collision
Let velocity of the second body be v

We know,
According to law of conservation of linear momentum
$M_{1} U_{1} + M_{2} U_{2} = M_{1} V_{1} + M_{2} V_{2}$
Or, $(2 \times 10) + (5 \times 0) = (2 \times 1) + (5 \times v)$
Or, $20 = 2 + 5 v$
After solving
$v = 3.6 m / s$
Hence, velocity of the second body after collision is $3.6 m / s$

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