A ball with a mass of $6 kg$ is rolling at $7 m/s$ and elastically collides with a resting ball with a mass of $8 kg$ . What are the post-collision velocities of the balls?

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A ball with a mass of $6 kg$ is rolling at $7 m/s$ and elastically collides with a resting ball with a mass of $8 kg$ . What are the post-collision velocities of the balls?

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Answer 1 · 2016-02-14T18:28:25

$v_1^'=-7 m/s$
$v_2^'=0$

Explanation:

$"total momentums before event=total momentum after event"$
$vec P_(1b)+ vec P_(2b)=vec P_(1a)+ vec P_(2a)$
$6*7+0=6*v_1^'+8*v_2^'$
$42=6*v_1^'+8*v_2^' " (1)"$
$v_1+v_1^'=v_2+v_2^'$
$7+v_1^'=0+v_2^' " (2)"$
$v_1^'=v_2^'-7$
$42=6*(v_2^'-7)+8.v_2^'$
$42=6*v_2^'-42+8*v_2^'$
$14*v_2^'=0$
$v_2^'=0$
$v_1^'=0-7$
$v_1^'=-7 m/s$

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A ball with a mass of $6 kg$ is rolling at $7 m/s$ and elastically collides with a resting ball with a mass of $8 kg$ . What are the post-collision velocities of the balls?

1 Answer

Explanation:

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Science

Math

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A ball with a mass of 6 kg 6 kg is rolling at 7 m/s7 m/s and elastically collides with a resting ball with a mass of 8 kg 8 kg. What are the post-collision velocities of the balls?

1 Answer

Explanation:

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A ball with a mass of $6 kg$ is rolling at $7 m/s$ and elastically collides with a resting ball with a mass of $8 kg$ . What are the post-collision velocities of the balls?