Problem

9. Two people are fighting over a Playstation 5 . One \( 100 \mathrm{~kg} \) customer eventually winds up at a speed of \( 10 \mathrm{~m} / \mathrm{s} \) on another \( 125 \mathrm{~kg} \) customer. What was the recoil velocity of the \( 125 \mathrm{~kg} \) customer? \( (8 \mathrm{~m} / \mathrm{s}) \)

Answer

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Answer

\( v_2 = \frac{100 \times 10}{125} = 8 \mathrm{~m} / \mathrm{s} \)

Steps

Step 1 :\( m_1 = 100 \mathrm{~kg} \)

Step 2 :\( m_2 = 125 \mathrm{~kg} \)

Step 3 :\( v_1 = 10 \mathrm{~m} / \mathrm{s} \)

Step 4 :\( m_1 v_1 = m_2 v_2 \)

Step 5 :\( v_2 = \frac{m_1 v_1}{m_2} \)

Step 6 :\( v_2 = \frac{100 \times 10}{125} = 8 \mathrm{~m} / \mathrm{s} \)

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