A ball with a mass of $2 kg$ is rolling at $3 m/s$ 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 · 2016-05-19T17:18:39

$v_1^'=1" m/s"$
$v_2^'=4 " "m/s$

$Sigma vec P_b=m_1*vec v_1+m_2*vec v_2$
$Sigma vec P_b=2*3+1*0$
$Sigma vec P_b=6 kg*m/s" Total momentum before collision"$

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

$v_1^'=(2*6)/(2+1)-3$

$v_1^'=12/3-3$

$v_1^'=4-3=1 " "m/s " velocity of "m_1 " after collision"$

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

$v_2^'=(2*6)/(2+1)-0$

$v_2^'=4 " "m/s" velocity of " m_2 " after collision"$

A ball with a mass of 2 kg2 kg is rolling at 3 m/s3 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?