First slide

Collisions

Question

A ball of mass 10 kg is moving with a velocity of 10 m/s. It strikes another ball of mass 5 kg which is moving in the same direction with a velocity of 4 m/s. If the collision is elastic, their velocities after the collision will be, respectively

Moderate

A

6 m/s, 12 m/s
B

12 m/s, 6 m/s
C

12 m/s, 10 m/s
D

12 m/s, 25 m/s

Solution

$v_{1} = (\frac{m_{1} - m_{2}}{m_{1} + m_{2}}) u_{1} + (\frac{2 m_{2}}{m_{1} + m_{2}}) u_{2}$ and
$v_{2} = (\frac{2 m_{1}}{m_{1} + m_{2}}) u_{1} + (\frac{m_{1} - m_{2}}{m_{1} + m_{2}}) u_{2}$
on putting the values $v_{1} = 6 m / s$ and $v_{2} = 12 m / s$

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