A ball with a mass of $3 k g$ $3 kg$ is rolling at $11 \frac{m}{s}$ $11 m/s$ and elastically collides with a resting ball with a mass of $4 k g$ $4 kg$ . What are the post-collision velocities of the balls?

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A ball with a mass of $3 k g$ $3 kg$ is rolling at $11 \frac{m}{s}$ $11 m/s$ and elastically collides with a resting ball with a mass of $4 k g$ $4 kg$ . What are the post-collision velocities of the balls?

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Answer 1 · 2016-02-27T13:44:33

$see to animation$ $"see to animation"$
$v_{r} = - \frac{11}{7} \frac{m}{s}$ $v_r=-11/7 m/s$
$v_{y} = \frac{66}{7} \frac{m}{s}$ $v_y=66/7 m/s$

Explanation:

enter image source here
$m_{r} : mass of the red ball$ $m_r:" mass of the red ball"$
$m_{y} : mass of the yellow ball$ $m_y:" mass of the yellow ball"$
$v_{r} : velocity of the red ball after collision$ $v_r:" velocity of the red ball after collision"$
$v_{y} : velocity of the yellow ball after collision$ $v_y:" velocity of the yellow ball after collision"$
$3 \cdot 11 + 0 = 3 \cdot v_{r} + 4 \cdot v_{y}$ $3*11+0=3*v_r+4*v_y$
$33 = 3 \cdot v_{r} + 4 \cdot v_{y} (1)$ $33=3*v_r+4*v_y" (1)"$
$11 + v_{r} = 0 + v_{y} (2)$ $11+v_r=0+v_y" (2)"$
$v_{y} = 11 + v_{r} (3)$ $v_y=11+v_r" (3)"$
$insert (3) into (2)$ $"insert (3) into (2)"$
$33 = 3 \cdot v_{r} + 4 \cdot (11 + v_{r})$ $33=3*v_r+4*(11+v_r)$
$33 = 3 \cdot v_{r} + 44 + 4 \cdot v_{r}$ $33=3*v_r+44+4*v_r$
$33 - 44 = 7 \cdot v_{r}$ $33-44=7*v_r$
$- 11 = 7 \cdot v_{r}$ $-11=7*v_r$
$v_{r} = - \frac{11}{7} \frac{m}{s}$ $v_r=-11/7 m/s$
$use (3):$ $"use (3):"$
$v_{y} = 11 - \frac{11}{7}$ $v_y=11-11/7$
$v_{y} = \frac{66}{7} \frac{m}{s}$ $v_y=66/7 m/s$

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A ball with a mass of $3 k g$ $3 kg$ is rolling at $11 \frac{m}{s}$ $11 m/s$ and elastically collides with a resting ball with a mass of $4 k g$ $4 kg$ . What are the post-collision velocities of the balls?

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Explanation:

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Science

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A ball with a mass of 3kg 3 kg is rolling at 11ms11 m/s and elastically collides with a resting ball with a mass of 4kg4 kg. What are the post-collision velocities of the balls?

1 Answer

Explanation:

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A ball with a mass of $3 k g$ $3 kg$ is rolling at $11 \frac{m}{s}$ $11 m/s$ and elastically collides with a resting ball with a mass of $4 k g$ $4 kg$ . What are the post-collision velocities of the balls?