A 1000 kg car traveling due east at speed 200 ms collides...

A 1000 kg car traveling due east at speed 20.0 m/s collides head-on with a 1500 kg light truck traveling due west at speed 10.0 m/s. a. If 50% of the car and truck system’s kinetic energy is converted to internal energy during the collision, what are the final velocities of the car and truck? b. What is the coefficient of restitution for the collision you analyzed in (a)? c. If the collision had instead been perfectly elastic, what would have been the final velocities of the car and truck? d. If the collision had instead been totally inelastic, what would have been the final velocities of the car and truck?

Transcript

00:01 When cushion, we have a car and a truck.

00:03 Let the mass of car is m1 and it is moving in the west, in the east direction, let the velocity of the car is v1.

00:15 And let the mass of the truck is m2 and it is moving in the west direction with velocity v2.

00:24 And they collide with each other and we are going to find the final velocity.

00:30 After the collagen so here we are going to use the linear momentum conservation so first we will write the initial momentum of the system initial momentum of system means the car plus the truck system so initial momentum that will be equal to m1 v1 that will be the momentum of car plus m2 v2 that will be the momentum of the truck so put the values here m1 is 1 ,000 multiply v1 is 20 plus m2 is 1500 multiply v2 is 10 meter per second but it is moving in the opposite direction of the car so we'll take here minus 10 so if you saw this we get 5 ,000 kilogram meter per second so this will be the initial momentum of the system now the final the final momentum of final momentum of system that will be equal to let their velocities be v1 -daz and v2 -das after the collision of car and truck respectively.

01:50 So the final momentum will be m1 v1 -1 -plus m2 v2 -dase.

01:57 Now by linear momentum conservation, by momentum conservation, we can't can write that initial momentum will be equal to final momentum so it will be m1 v1 dash plus m2 v2 dash that will be equal to 5 ,000 now put the values 1 ,000 multiply v1 dash plus 1500 multiply v2 dash that will be equal to 5 ,000 so if you saw this we get 2 v1 dash plus 3 v2 dash that will be equal to 10 let's suppose this is our equation first now the initial kinetic energy we will calculate initial kinetic energy that will be equal to half m1 v1 square plus half m2 v2 square so put the values 1 by 2 multiply 1 ,000 multiply v1 is 20 square plus 1 by 2 multiply 1 by 2 multiply 1 multiply 10 square so so solve this and we get 275 -tripple.

03:15 So this will be the initial kinetic energy.

03:19 Now in the question we are given that 50 % of car plus truck car plus truck system kinetic energy lost during the collagen during collagen...

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