00:01
Hello students, here are a truck.
00:05
Imagine this is a truck of mass m1 and this with velocity v1 moves towards the north.
00:16
Similarly another truck of mass m2 and this moves with velocity v2 in the west direction.
00:26
So after some time they collide with each other as a result they get a.
00:32
Stuck to each other and moves with the final velocity vf so the new velocity here is vf so here we have to calculate the final velocity vf after collision and the direction at which the truck travels given that the mass m1 is equal to 6 ,000 kilogram and it travels with velocity v1 is 5 meter per second and the mass of truck m2 is 4 ,000 kilogram and it moves with velocity v2 is equal to 15 meter per second since there is no external force acting then the momentum will be conserved so according to principle of conservation of momentum principle of conservation of momentum we can write the initial momentum is equal to final momentum here the initial momentum is mass momentum of the truck one that is m1 v1 plus ma momentum of the truck 2 that is m2 v2 which is equal to the final momentum that is m1 plus m2 into vf so here we want to calculate for vf so vf is equal to m1 v1 plus m2 divided by m1 plus m2 so this velocity component can be converted into two components that is along the horizontal direction and along the vertical direction so in horizontal direction horizontal direction that is v x is equal to mass m1 that is 6 ,000 into here v1 in this case the truck one moves in a vertical direction so it will have no horizontal velocity component so this is 0 plus mass m2 is 4 ,000 into here the velocity is along the minus x direction.
03:42
So the v component v2 is minus 15 divided by m1 plus m2 that is 10 ,000.
03:52
So therefore the vx component will be this is zero and if you solve this you get minus 6i meet up a second.
04:05
Similarly we have to solve for the vertical direction component.
04:14
So the vertical component of velocity that is vy is equal to mass 1 that is 6 ,000 into here the vertical component velocity is 5 meter per second plus m2 is 4 ,000 into and here.
04:46
This body has only horizontal velocity and there is no vertical velocity.
04:52
So this is 0 divided by the total mass is 10 ,000...