A ball with a mass of $6 kg$ is rolling at $25 m/s$ 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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A ball with a mass of $6 kg$ is rolling at $25 m/s$ 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 · 2016-04-12T18:25:31

$v_1^'=125/7 m/s$
$v_2^'=300/7 m/s$

Explanation:

$vec P_1+vec P_2:" total momentum before collision "$
$vec P_1^'+vec P_2^':" total momentum after collision"$
$vec P_1+vec P_2=vec P_1^'+vec P_2^'" conservation of momentum"$

$m_1*v_1+m_2*v_2=m_1*v_1^'+m_2*v_2^'$
$6*25+1*0=6*v_1^'+1*v_2^'$
$150=6*v_1^'+1*v_2^'" (1)"$

$v_1+v_1^'=v_2+v_2^'" (2)"$
$25+v_1^'=0+v_2^'$
$v_2^'=25+v_1^'" (3)"$

$"let's use (1)"$
$150=6*v_1^'+25+v_1^'$
$150-25=7v_1^'$
$125=7v_1^'$
$v_1^'=125/7 m/s$

$"let's use (3)"$
$v_2^'=25+125/7$
$v_2^'=(175+125)/7$
$v_2^'=300/7 m/s$

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A ball with a mass of $6 kg$ is rolling at $25 m/s$ and elastically collides with a resting ball with a mass of $1 kg$ . What are the post-collision velocities of the balls?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

A ball with a mass of 6 kg 6 kg is rolling at 25 m/s25 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?

1 Answer

Explanation:

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A ball with a mass of $6 kg$ is rolling at $25 m/s$ and elastically collides with a resting ball with a mass of $1 kg$ . What are the post-collision velocities of the balls?