00:01
In this example, i'm going to be looking at conservation and momentum in an inelastic collision involving two balls of clay.
00:10
Okay, so we have one ball of clay lying on a table.
00:14
It is initially at rest.
00:17
Okay.
00:19
So we'll call this ball one.
00:23
And we roll another ball of equal mass into it, okay, with some velocity v.
00:32
I'll call.
00:32
Call this v initial.
00:35
This is ball two.
00:37
And let me just write down quickly that mass one equals mass two.
00:44
So ball two rolls into ball one.
00:48
All right, they stick together in an inelastic collision.
00:53
And the first thing we want to do is describe the motion of the two balls of clay after the collision.
00:58
Okay.
01:00
We know from conservation of momentum, that initial momentum must equal final momentum.
01:07
So the momentum before the collision must equal the momentum after the collision.
01:13
Okay, so before, ball one's at rest, ball two is moving.
01:16
So we have m2v initial is our initial momentum.
01:22
Let's write that p initial.
01:24
And that's going to equal my final momentum.
01:27
Now these balls are moving at some new velocity.
01:33
Okay, so i'll call it v -final.
01:36
And the mass now is 2 times m.
01:40
I'll say as 1 equals mass 2 equals m.
01:43
So we have 2m v final.
01:50
All right, so we can get rid of the mass on each side.
01:53
That's p -final.
01:55
And we get bf equals the initial over 2.
02:00
So the two ball lump is now moving in the same.
02:05
Direction as the original ball ball two, moving in the same direction with half of the original magnitude of the original velocity...