First slide
Coefficient of restitution
Question

A particle of mass m moving with velocity 2v collides with another particle of mass 3m moving with velocity v in the same direction. If it is perfect inelastic collision, the loss of K.E. of the system is

Moderate
Solution

\large \Delta KE = \frac{1}{2}\frac{{{m_1}{m_2}}}{{{m_1} + {m_2}}}{({u_1} - {u_2})^2}\\\;\\\\= \frac{1}{2} \times \frac{{m \times 3m}}{{4m}}{\left( {2v - v} \right)^2} = \frac{3}{8}m{v^2}

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