A mass \( m_1 \) traveling with an initial velocity \( v \) has an elastic collision with a mass \( m_2 \) that is initially at rest.(a) Determine the final velocity \( v_1 \) of \( m_1 \) in terms of \( m_1 \), \( m_2 \), and \( v \). , (b) Determine the final velocity \( v_2 \) of \( m_2 \) in terms of \( m_1 \), \( m_2 \), and \( v \). , (c) For what values of \( m_1 \) and \( m_2 \) would the final velocities of the two masses be in the same direction? The opposite direction? :

\(v_1 = \dfrac{m_1 – m_2}{m_1 + m_2} v\) \(v_2 = \dfrac{2 m_1}{m_1 + m_2} v\) \(\text{Same direction if } m_1 > m_2, \; \text{opposite direction if } m_1 < m_2\)

A mass \( m_1 \) traveling with an initial velocity \( v \) has an elastic collision with a mass \( m_2 \) that is initially at rest. • Nerd Notes

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AP Physics 1

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A mass \( m_1 \) traveling with an initial velocity \( v \) has an elastic collision with a mass \( m_2 \) that is initially at rest.

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