A particle of mass m moves towards a smooth vertical wall with a speed u (relative to the ground) and collides elastically with the wall; the wall moving towards the particle with a speed 2u (also relative to the ground). Assuming that the wall is extreme

Question

A particle of mass $m$ moves towards a smooth vertical wall with a speed $u$ (relative to the ground) and collides elastically with the wall; the wall moving towards the particle with a speed $2 u$ (also relative to the ground). Assuming that the wall is extremely massive, the magnitude of impulse delivered to the particle equals

Smart Achievers · Accepted Answer

(2)

$In 1D collisions formula for v_{1} = \frac{m_{1} - m_{2}}{m_{1} + m_{2}} v_{1} + \frac{2 m_{2}}{m_{1} + m_{2}} v_{2}, when m_{1} ≪ m_{2},$ $\vec{v_{1}} = - \vec{u_{1}} + 2 \vec{u_{2}} .$

Solution

1 5 mu

2 6 mu

3 4 mu

4 2 mu

Ans.
(2)

$In 1D collisions formula for v_{1} = \frac{m_{1} - m_{2}}{m_{1} + m_{2}} v_{1} + \frac{2 m_{2}}{m_{1} + m_{2}} v_{2}, when m_{1} ≪ m_{2},$ $\vec{v_{1}} = - \vec{u_{1}} + 2 \vec{u_{2}} .$

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