Two bodies undergo one-dimensional, inelastic, head-on collision.… - Vidyadip

Question

Two bodies undergo one-dimensional, inelastic, head-on collision. State an expression for their final velocities in terms of their masses, initial velocities and coefficient of restitution.

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Answer

If e is the coefficient of restitution, the final velocities after an inelastic, head on collision are given as,
$v_1=\frac{m_1-e_2}{m_1+m_2} u_1+\frac{(1+e) m_2}{m_1+m_2} u_2$
$v _2=\frac{ m _2- em _1}{m_1+ m _2} u _2+\frac{(1+ e ) m _1}{m_1+ m _2} u _1$

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