A ball with a mass of $3 kg$ is rolling at $16 m/s$ 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 · 2016-05-21T15:48:42

$vec v_1^'=24-16=8" "m/s$

$vec v_2^'=24" "m/s$

$vec P_1=m_1*vec v_1" momentum of " m_1" before collision"$

$vec P_2=m_2*v_2" momentum of " m_2 " before collision"$

$vec Sigma P_b=vec P_1+vec P_2" total momentum before collision"$

$Sigma vec P_b=m_1*vec v_1+m_2*vec v_2$

$Sigma vec P_b=3.16+1*0=48 " "kg*m/s$

$"post collision velocities :"$

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

$vec v_1^'=(2*48)/(3+1)-16$

$vec v_1^'=96/4-16$

$vec v_1^'=24-16=8" "m/s$

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

$vec v_2^'=(2*48)/(3+1)-0$

$vec v_2^'=96/4$

$vec v_2^'=24" "m/s$

A ball with a mass of 3 kg 3 kg is rolling at 16 m/s16 m/s and elastically collides with a resting ball with a mass of 1 kg 1 kg. What are the post-collision velocities of the balls?