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# Problem: Ball 1 with a mass of 100g and travelling at 10m/s, collides head on with ball 2 which has a mass of 300g and is initially at rest. What are the final velocities of each ball if the collision is:a) perfectly elasticb) perfectly inelastic

###### FREE Expert Solution

This problem requires us to use the concept of conservation of momentum:

$\overline{){{\mathbf{m}}}_{{\mathbf{1}}}{{\mathbf{v}}}_{{\mathbf{01}}}{\mathbf{+}}{{\mathbf{m}}}_{{\mathbf{2}}}{{\mathbf{v}}}_{{\mathbf{02}}}{\mathbf{=}}{{\mathbf{m}}}_{{\mathbf{1}}}{{\mathbf{v}}}_{\mathbf{f}\mathbf{1}}{\mathbf{+}}{{\mathbf{m}}}_{{\mathbf{2}}}{{\mathbf{v}}}_{\mathbf{f}\mathbf{2}}}$

a)

We have:

Since ball 2 is initially at rest, v02 = 0 m/s

Since the collision is perfectly inelastic, we have:

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###### Problem Details

Ball 1 with a mass of 100g and travelling at 10m/s, collides head on with ball 2 which has a mass of 300g and is initially at rest. What are the final velocities of each ball if the collision is:
a) perfectly elastic
b) perfectly inelastic