A ball with a mass of $3 kg$ is rolling at $1 m/s$ 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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A ball with a mass of $3 kg$ is rolling at $1 m/s$ 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 · 2016-03-09T14:30:59

$v_1^'=-1/7 m/s$
$v_2^'=6/7m/s$

Explanation:

$m_1*v_1+m_2v_2=m_1v_1^'+m_2v_2^'" "(1)$
$"total momentum before collision=total momentum after collision"$
$1/2*m_1*v_1^2+1/2*m_2*v_2^2=1/2.m_1*v_1'^2+1/2*m_2*v_2'^2$

$m_1*v_1^2+m_2*v_2^2=m_1*v_1'^2+m_2*v_2'^2" "(2)$
$"we obtain the equation of (3),if we arrange (1) and (2)"$
$v_1+v_1^'=v_2+v_2^' " "(3)$
$3*1+4*0=3*v_1^'+4*v_2^'$
$3=3*v_1^'+4*v_2^'" "(4)$
$"use (3)"$
$1+v_1^'=0+v_2^'$
$v_2^'=1+v_1^'" "(5)$
$"use (4)"$
$3=3*v_1^'+4(1+v_1^')$
$3=3*v_1^'+4+4v_1^'$
$-1=7v_1^'" "v_1^'=-1/7 m/s$
$"use (5)"$
$v_2^'=1-1/7$
$v_2^'=6/7m/s$

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A ball with a mass of $3 kg$ is rolling at $1 m/s$ and elastically collides with a resting ball with a mass of $4 kg$ . What are the post-collision velocities of the balls?

1 Answer

Explanation:

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Science

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A ball with a mass of 3 kg 3 kg is rolling at 1 m/s1 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?

1 Answer

Explanation:

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A ball with a mass of $3 kg$ is rolling at $1 m/s$ and elastically collides with a resting ball with a mass of $4 kg$ . What are the post-collision velocities of the balls?