A ball with a mass of $5 kg$ is rolling at $14 m/s$ and elastically collides with a resting ball with a mass of $4 kg$ . What are the post-collision velocities of the balls?

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Answer 1 · 2016-05-26T13:15:40

$v_1^'=14/9" "m/s$

$v_2^'=140/9 " "m/s$

$m_1=5" " kg$
$v_1=14" " m/s$
$"Momentum before collision for the object with mass of 5 kg"$
$P_1=m_1*v_1=5*15=70" "kg*m/s$

$m_2=4" "kg$
$v_2=0$
$"Momentum before collision for the object with mass of 4 kg"$

$P_2=m_2*v_2$
$P_2=4*0=0$

$"The total momentum of objects before collision"$
$Sigma P_b=P_1+P_2$
$Sigma P_b=70+0=70$

$"Post collision velocities :"$

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

$v_1^'=(2*70)/(5+4)-14$

$v_1^'=140/9-14$

$v_1^'=(140-126)/9$

$v_1^'=14/9 " "m/s$

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

$v_2^'=(2*70)/(5+4)-0$

$v_2^'=140/9" "m/s$

A ball with a mass of 5 kg 5 kg is rolling at 14 m/s14 m/s and elastically collides with a resting ball with a mass of 4 kg4 kg. What are the post-collision velocities of the balls?