00:01
Applying the law of conservation of momentum, we know that the initial momentum equals the final momentum.
00:05
This would be equal to the square root of the initial momentum in the x direction, quantity squared, plus the initial momentum in the y direction of quantity squared.
00:19
We can then say that the final momentum equals the square root of m sub 1, v sub 1 initial quantity squared, plus m sub 2, b sub 2 initial, quantity squared and we can say that by substituting we have 1 ,383 kilograms multiplied by negative 11 .2 meters per second quantity squared plus 1 ,732 kilograms multiplied by 31 .3 meters per second, quantity squared extend the square root and we find that our final momentum the magnitude is equaling 56 ,381 .1 kilograms meters per second and we know that due to the impulse momentum theorem this is going to be equal to the sum of the velocity the sum of the masses rather multiplied by the final velocity and so we know that then the final velocity is equaling 56 ,381 .1 kilograms meters per second.
01:48
Again, divided by the sum of the mass 1 ,383 kilograms plus 1 ,732 kilograms.
02:00
And we find that then the final velocity, 18 .1 meters per second.
02:07
Now we have to find the direction, so we can say that then finding the angle for the final velocity, this would be arc tan of the y component of the momentum divided by the x component of the momentum...