- #1

Xizel

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## Homework Statement

Prove that a perfectly inelastic collision loses more kinetic energy than a partially inelastic collision. Given: $$m_1, m_2, v_{1i}, v_{2i}, v_{1f}, v_{2f}$$

## Homework Equations

$$KE = \frac{1}{2}mv^2$$

## The Attempt at a Solution

From conservation of momentum:

$$P_{inelastic} : m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v_f$$

$$P_{partial} : m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}$$

I'm not sure how to progress from this. Thanks.