A ball with a mass of $3 kg$ is rolling at $25 m/s$ and elastically collides with a resting ball with a mass of $2 kg$ . What are the post-collision velocities of the balls?

Question

A ball with a mass of $3 kg$ is rolling at $25 m/s$ and elastically collides with a resting ball with a mass of $2 kg$ . What are the post-collision velocities of the balls?

1 Answer

Impact of this question

1537 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-04T14:55:59

$v_1^'=5" " m/s$
$v=2^'=30" " m/s$

Explanation:

enter image source here
$m_1*v_1+0=m_1*v_2^'+m_2*v_2^' " Conversation of momentum"$
$3*25+0=3*v_1^'+2*v_2^'$
$75=3*v_1^'+2*v_2^' " "(1)$
$v_1+v_1^'=v_2+v_2^'" "(2)$
$25+v_1^'=0+v_2^'" "v_2^'=25+v_1^'" "(3)$
$75=3*v_1^'+2(25+v_1^')$
$75=3*v_1^'+50+2v_1^'$
$75-50=5v_1^' " "25=5v_1^'" "v_1^'=5" " m/s$
$use (3):$
$v_2^'=25+5$
$v=2^'=30" " m/s$

Science

Math

Humanities

... and beyond

A ball with a mass of $3 kg$ is rolling at $25 m/s$ and elastically collides with a resting ball with a mass of $2 kg$ . What are the post-collision velocities of the balls?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A ball with a mass of 3 kg 3 kg is rolling at 25 m/s25 m/s and elastically collides with a resting ball with a mass of 2 kg 2 kg. What are the post-collision velocities of the balls?

1 Answer

Explanation:

Related questions

Impact of this question

A ball with a mass of $3 kg$ is rolling at $25 m/s$ and elastically collides with a resting ball with a mass of $2 kg$ . What are the post-collision velocities of the balls?