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Kinetic theory is part of statistical physics. DO NOT USE this tag for macroscopic kinematics; use the [kinematics] tag instead.
3
votes
Accepted
How to approach this kind of task about kinetic energy?
The velocity of the system after collision is
$$
V=\frac{m_b}{m_b+m_s}v_b
$$
The lost of kinetic energy can be assumed as the ejected heat in question,
\begin{align}
\Delta KE &= m_b v_b^2 /2 - (m_b …