00:01
So here we can say that the initial momentum essentially is equal to the square root of the momentum of the first car squared plus the momentum of the second car squared.
00:13
We can say that then this would be equal to the square root of m sub 1 v.
00:21
Sub 1 quantity squared plus m sub 2 v.
00:26
Sub 2 quantity squared.
00:27
And we find then that the initial momentum, the magnitude, is equaling to 925 kilograms multiplied by 20 .1 meters per second, quantity squared, plus 1 ,865 kilograms multiplied by 13 .4 meters per second, quantity squared.
01:01
And we find that then the initial momentum is equaling 3 .12 times 10 to the fourth kilograms meters per second.
01:15
Now we know that then the final momentum is equaling to the sum of the two masses because they are stuck together after the collision times the final velocity.
01:32
And so we can say that then the final velocity would be equal to the final momentum.
01:40
Given that the momentum is conserved, it'll be equal to the initial momentum divided by the sum of the mass.
01:52
So this is giving us 3 .12 times 10 to the fourth kilograms meters per second.
02:02
And then this will be divided by 925 plus...