Consider the following statements A and B and | vedclass

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(A) In an elastic collision between two bodies of equal mass $(m_1 = m_2 = m)$,the final velocities $v_1$ and $v_2$ are given by the conservation of m

Vedclass · Accepted Answer

Both $A$ and $B$ are true

Vedclass · Answer

(A) In an elastic collision between two bodies of equal mass $(m_1 = m_2 = m)$,the final velocities $v_1$ and $v_2$ are given by the conservation of momentum and kinetic energy as:$v_1 = \frac{m_1 - m_2}{m_1 + m_2}u_1 + \frac{2m_2}{m_1 + m_2}u_2$$v_2 = \frac{2m_1}{m_1 + m_2}u_1 + \frac{m_2 - m_1}{m_1 + m_2}u_2$Since $m_1 = m_2$,these equations simplify to $v_1 = u_2$ and $v_2 = u_1$.Statement $A$ describes the specific case where $u_2 = 0$,resulting in $v_1 = 0$ and $v_2 = u_1$,which is true.Statement $B$ is the general case of the same principle,which is also true. Thus,both statements are correct.

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