Elastic Collisions

1. Nov 19, 2013

bjah

Mass 1 = 8 kg, and v = 3 m/s to the right.
Mass 2 = 4 kg, and v = -3 m/s to the left.

Both objects are on the same x-plane. Totally elastic collision.
Momentum of mass 1 is 24, and momentum of mass 2 is -12.

How do I determine final momentum for each object, and therefore final velocity, after the collision?

Thank you.

2. Nov 19, 2013

Staff: Mentor

You have two unknowns (the velocities of the two masses after the collision).
If you can find two equations in these two variables, just basic algebra will see you home.

Ask yourself what the definition of an "elastic" collision is, and that will give you one of your equations. Conservation of momentum will give you the other one.

3. Nov 19, 2013

bjah

And that's where I'm stuck!!!

(8 x 3) + (4 x -3) = (8 x Vfinal of mass 1) + (4 x Vfinal of mass 2)

But how do I combine the equations for conservation of momentum and kinetic energy?

4. Nov 19, 2013

Staff: Mentor

What does the equation for conservation of energy say about the energy before and the collision?

5. Nov 19, 2013

bjah

KE initial must = KE final.

6. Nov 19, 2013

haruspex

Right. So write out expressions for those two energies in this context.