A ball with a mass of $3 kg$ is rolling at $11 m/s$ 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 $11 m/s$ 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 · 2016-02-27T13:44:33

$"see to animation"$
$v_r=-11/7 m/s$
$v_y=66/7 m/s$

Explanation:

enter image source here
$m_r:" mass of the red ball"$
$m_y:" mass of the yellow ball"$
$v_r:" velocity of the red ball after collision"$
$v_y:" velocity of the yellow ball after collision"$
$3*11+0=3*v_r+4*v_y$
$33=3*v_r+4*v_y" (1)"$
$11+v_r=0+v_y" (2)"$
$v_y=11+v_r" (3)"$
$"insert (3) into (2)"$
$33=3*v_r+4*(11+v_r)$
$33=3*v_r+44+4*v_r$
$33-44=7*v_r$
$-11=7*v_r$
$v_r=-11/7 m/s$
$"use (3):"$
$v_y=11-11/7$
$v_y=66/7 m/s$

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A ball with a mass of $3 kg$ is rolling at $11 m/s$ 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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Impact of this question

Science

Math

Humanities

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A ball with a mass of 3 kg 3 kg is rolling at 11 m/s11 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 $11 m/s$ and elastically collides with a resting ball with a mass of $4 kg$ . What are the post-collision velocities of the balls?