A ball with a mass of $2 k g$ $2 kg$ is rolling at $6 \frac{m}{s}$ $6 m/s$ and elastically collides with a resting ball with a mass of $1 k g$ $1 kg$ . What are the post-collision velocities of the balls?

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A ball with a mass of $2 k g$ $2 kg$ is rolling at $6 \frac{m}{s}$ $6 m/s$ and elastically collides with a resting ball with a mass of $1 k g$ $1 kg$ . What are the post-collision velocities of the balls?

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Answer 1 · 2016-03-01T16:52:31

$v_1^'=2 m/s$
$v_2^'=8 m/s$

Explanation:

$vec P_1 + vec P_2= vec P_2^' + vec P_2^'" the conservation of momentum"$
$m_1*v_1+m_2*v_2=m_1*v_1^'+m_2*v_2^'$
$2*6+0=2*v_1^'+1*v_2^'$
$12=2*v_1^'+v_2^'" (1)"$
$v_1+v_1^'=v_2+v_2^'" (2)$
$6+v_1^'=0+v_2^'$
$v_2^'=6+v_1^'" (3)"$
$"use equation (1)"$
$12=2*v_1^'+6+v_1^'$
$12-6=3*v_1^2$
$6=3*v_1^' " " v_1^'=2 m/s$
$"use equation (3)"$
$v_2^'=6+2$
$v_2^'=8 m/s$

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A ball with a mass of $2 k g$ $2 kg$ is rolling at $6 \frac{m}{s}$ $6 m/s$ and elastically collides with a resting ball with a mass of $1 k g$ $1 kg$ . What are the post-collision velocities of the balls?

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Explanation:

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A ball with a mass of 2 kg2kg2 kg is rolling at 6 m/s6ms6 m/s and elastically collides with a resting ball with a mass of 1 kg1kg1 kg. What are the post-collision velocities of the balls?

1 Answer

Explanation:

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A ball with a mass of $2 k g$ $2 kg$ is rolling at $6 \frac{m}{s}$ $6 m/s$ and elastically collides with a resting ball with a mass of $1 k g$ $1 kg$ . What are the post-collision velocities of the balls?