First slide

The steps in collision

Question

If two masses $m_{1}$ and $m_{2}$ collide, the ratio of change in magnitude of their respective velocities is proportional to

Easy

A

$\frac{{m_{1}}^{2}}{{m_{2}}^{2}}$
B

$\sqrt{\frac{m_{1}}{m_{2}}}$
C

$\frac{m_{2}}{m_{1}}$
D

$\sqrt{\frac{m_{2}}{m_{1}}}$

Solution

$f r o m c o n s e r v a t i o n o f m o m e n t u m m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2} m_{1} (u_{1} - v_{1}) = m_{2} (v_{2} - u_{2}) \frac{u_{1} - v_{1}}{v_{2} - u_{2}} = \frac{m_{2}}{m_{1}}$

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