First slide

Collisions

Question

A smooth sphere of mass M moving with velocity u directly collides elastically with another sphere of mass m at rest. After collision their final velocities are V and v respectively. The value of v is

Moderate

A

$\frac{2 uM}{m}$
B

$\frac{2 um}{M}$
C

$\frac{2 u}{1 + \frac{m}{M}}$
D

$\frac{2 u}{1 + \frac{M}{m}}$

Solution

$v_{2} = (\frac{m_{2} - m_{1}}{m_{1} + m_{2}}) u_{2} + \frac{2 m_{1} u_{1}}{m_{1} + m_{2}} = \frac{2 Mu}{M + m} = \frac{2 u}{1 + \frac{m}{M}}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App