When does the total kinetic energy of two bod | vedclass

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(B) The total kinetic energy of a system of two bodies becomes zero after a collision if and only if the collision is perfectly inelastic and the tota

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When the bodies stick together after the collision and their initial momenta are equal and opposite.

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(B) The total kinetic energy of a system of two bodies becomes zero after a collision if and only if the collision is perfectly inelastic and the total linear momentum of the system is zero.If two bodies of masses $m_1$ and $m_2$ move with velocities $v_1$ and $v_2$ in opposite directions such that their total momentum $p = m_1v_1 + m_2v_2 = 0$,and they stick together after the collision,the final velocity $V$ of the combined mass will be $V = \frac{m_1v_1 + m_2v_2}{m_1 + m_2} = 0$.Since the final velocity is zero,the final kinetic energy $K_f = \frac{1}{2}(m_1 + m_2)V^2 = 0$.

When does the total kinetic energy of two bodies moving in opposite directions become zero after a collision?

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