A ball with a mass of $23 k g$ $23 kg$ is rolling at $25 \frac{m}{s}$ $25 m/s$ and elastically collides with a resting ball with a mass of $2 k g$ $2 kg$ . What are the post-collision velocities of the balls?

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A ball with a mass of $23 k g$ $23 kg$ is rolling at $25 \frac{m}{s}$ $25 m/s$ and elastically collides with a resting ball with a mass of $2 k g$ $2 kg$ . What are the post-collision velocities of the balls?

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Answer 1 · 2016-02-08T12:19:12

$v_{2 a} = 1, 038 \frac{m}{sec}$ $v_(2a)=1,038 m/sec$
$v_{1 a} = 23, 962 \frac{m}{sec}$ $v_(1a)=23,962 m/sec$

Explanation:

$Sigma P_b= Sigma P_a$
$Sigma P_b": sum of momentums before"$
$Sigma P_a:" sum of momentums after"$
$23*25+0=23*v_(1a)+2*v_(2a)$
$575=23*v_(1a)+2*v_(2a)$
$v_(1b)+v_(2b)=v_(1a)+v_(2a)$
$25+0=v_(1a)+v_(2a) "$
$v_(1a)=25-v_(2a)$
$575=23(25-v_(2a))+2*v_(2a)$
$575=575*v_(2a)-23*v_(2a)+2*v_(2a)$
$554*v_(2a)=575$
$v_(2a)=1,038 m/sec$
$25=v_(1a)+1,038$
$v_(1a)=25-1,038$
$v_(1a)=23,962 m/sec$

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A ball with a mass of $23 k g$ $23 kg$ is rolling at $25 \frac{m}{s}$ $25 m/s$ and elastically collides with a resting ball with a mass of $2 k g$ $2 kg$ . What are the post-collision velocities of the balls?

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Explanation:

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A ball with a mass of 23 kg23kg 23 kg is rolling at 25 m/s25ms25 m/s and elastically collides with a resting ball with a mass of 2 kg2kg 2 kg. What are the post-collision velocities of the balls?

1 Answer

Explanation:

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A ball with a mass of $23 k g$ $23 kg$ is rolling at $25 \frac{m}{s}$ $25 m/s$ and elastically collides with a resting ball with a mass of $2 k g$ $2 kg$ . What are the post-collision velocities of the balls?