00:01
Hello, here we have to solve the given problem.
00:03
So here there are two figure skaters.
00:06
One, yeah, the one skater is moving at the speed of v2, that is 5 .9 meters per second, and then sketches a skater, which is moving at speed of v1, that is 5 .0 meters per second.
00:26
Then they start moving with some new speed of of u.
00:37
And here we have to calculate the energy loss in the system due to the collision.
00:45
So let's do this.
00:47
First of all, we have to calculate speed u.
00:50
So it means that we have to use a conservation of the momentum.
01:00
U equals to m1 v1 plus m2 v2 over m1 plus m2 that equals 2.
01:11
And here, yeah, we have to find the ratio between the masses of these two skaters.
01:18
So the trailing skater is 75 % as massive as the leading skater.
01:26
So here number two is trailing and v1 is leading.
01:49
So here m1 equals to 75 kilograms and m2 equals to 75 kilograms and m2 equals to 75 percent of m1, which is 0 .75, m1.
02:14
So let's rearrange this equation, that is m1 v2 plus m1 v1, which is 0 .75, m1 v2, divided by 1 .75, now then u equals to v1 plus v1 plus 0 .75, v2, divided by 1 .75.
02:46
That is v1, which is 5 .0 meters per second, plus 0 .75 times 5 .9 meters per second, and that's divided by 1 .75.
03:11
Let's complete this calculation.
03:26
That equals to 5 .39 meters per second...