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Question

Question: Particle 1 collides a stationary particle 2 head on elastically. Find their mass ratio collision the...

Particle 1 collides a stationary particle 2 head on elastically. Find their mass ratio collision they move in opposite direction with equal velocities.

A

1

B

1/2

C

1/3

D

1/4

Answer

1/3

Explanation

Solution

v1v2=(m1m2)u1+2m2u2(m2m1)u2+2m1u1\frac{v_{1}}{v_{2}} = \frac{\left( m_{1} - m_{2} \right)u_{1} + 2m_{2}u_{2}}{\left( m_{2} - m_{1} \right)u_{2} + 2m_{1}u_{1}}

or - 1 = (m1m2)u2m1uorm1m2=13\frac{\left( m_{1} - m_{2} \right)u}{2m_{1}u}or\frac{m_{1}}{m_{2}} = \frac{1}{3}.