Please show the work of problems

8. A head-on elastic collision occurs between two objects. Before the collision object #1 has a mass of 0.250 [kg] and is moving to the right with a speed of 1.00 [m/s], while object #2 has a mass of 0.750 [kg] and is moving to the left with a speed of 1.00 [m/s]. What are the velocities of the two objects after the collision? 9. Car #1 with a mass of 1.50 x 10$ [kg] is travelling east at a speed of 25.0 [m/s]. It collides in the middle of an intersection with Car #2 which has a mass of 2.50 x 103 [kg] and which enters the intersection travelling north at a speed of 20.0 [m/s]. (a) Find the magnitude and direction of the velocity of the wreckage, assuming that after the collision the two cars stick together and that frictional forces can be neglected. (b] How much kinetic energy is lost in the collision? (c) How much linear momentum is lost in the collision?10. A hockey puck of mass 0.160 [kg] is travelling to the east with speed 2.50 [m/s] on the surface of a frictionless frozen pond when it receives a sharp 2.00 [N] force to the north that lasts 0.100 [s]. (a) What is the magnitude of the puck's northward-velocity 1.00 [s] after the impulse occurs? (b] What is the magnitude of the puck's eastward velocity 1.00 [s] after the impulse occurs? (c) Sketch a velocity vs time graph of the puck's eastward velocity.(d) Sketch a velocity vs time graph of the puck's y-velocity. (e) At what angle from east is the puck travelling after the impulse occurs?GENERAL PHYSICS 1 F23 Chapter 8 HW 6,7,8,9,10 6. The coefficient of restitution of a ball is defined as the ratio of the rebound speed to the incident speed when the ball collides with a rigid surface. If a handball has a coefficient of restitution of 0.50, what fraction of the ball's kinetic energy is lost when it rebounds straight back off the wall of a handball court? 7. Two equal masses collide in an inelastic collision. The initial velocity of object #1 is v while object #2 is initially stationary. (a) What is the final velocity of the two objects after the inelastic collision? (b) What fraction of the initial linear momentum of the system is lost during the collision? (c) What fraction of the initial kinetic energy of the system is lost during the collision