A ball with a mass of $2 kg$ is rolling at $5 m/s$ and elastically collides with a resting ball with a mass of $1 kg$ . What are the post-collision velocities of the balls?

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Answer 1 · 2016-05-18T08:36:16

$v_1^'=5/3 m/s$

$v_2^'=20/3 m/s$

$"Before Collision :"$
$m_1=2kg$
$v_1=5m/s$
$P_1=m_1*v_1" "P_1=2.5=10 kg*m/s$

$m_2=1kg$
$v_2=0$
$P_2=m_2*v_2" "P_2=1*0=0$

$"Total Momentum before Collision :"$

$Sigma P_b=P_1+P_2" "Sigma P_b=10+0 " "Sigma P_b=10 kg*m/s$

$"Post collision velocities :"$

$v_1^'=(2*P_b)/(m_1+m_2)-v_1$

$v_1^'=(2*10)/(2+1)-5$

$v_1^'=20/3-5" "v_1^'=(20-15)/3" "v_1^'=5/3 m/s$

$v_2^'=(2*P_b)/(m_1+m_2)-v_2$

$v_2=(2.10)/(2+1)-0$

$v_2^'=20/3 m/s$

A ball with a mass of 2 kg2 kg is rolling at 5 m/s5 m/s and elastically collides with a resting ball with a mass of 1 kg1 kg. What are the post-collision velocities of the balls?