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, v_{02} = 0 m/s

Since the collision is perfectly inelastic, we have:

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

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Types of Collisions concept. You can view video lessons to learn Types of Collisions. Or if you need more Types of Collisions practice, you can also practice Types of Collisions practice problems.