Example #1: Inelastic Collisions

Example #2: Inelastic Collisions

Example #3: Inelastic Collisions

A 5 kg mass moves with an initial speed of 1 m/s and collides with a 10 kg mass at rest. After the collision, the 5 kg mass is at rest and the 10 kg mass is in motion, with some speed v. (a) What type of collision is this? (b) What is the speed v? (c) IF the collision is inelastic, how much kinetic energy was lost during the collision?

An important quantity to know during an inelastic is known as the coefficient of restitution, which essentially measures how "ellastic" a collision is. The coefficient of restitution, e, is defined as
e = ( v1,f - v2,f ) / ( v1,i - v2,i )
where the v's are speeds, not velocities. If a ball were to drop from a height of 5 m, and only bounce up to a height of 4 m, what is the coefficient of restitution for the collision between the ball and the floor?

Suppose two asteroids strike head on. Asteroid A ( exttip{m_{
m A}}{m_A}8.1×1012 kg) has velocity 3.6 km/s before the collision, and asteroid B (exttip{m_{
m B}}{m_B}1.6×1013 kg) has velocity 1.3 km/s before the collision in the opposite direction.(a) If the asteroids stick together, what is the magnitude of the velocity of the new asteroid after the collision?(b) What is the direction of the velocity of the new asteroid after the collision?

Blocks A and B are moving toward each other on a horizontal frictionless surface. Block A has mass 5.0 kg and is moving to the right with speed 8.0 m/s. Block B has mass 15.0 kg and is moving to the left with speed 4.0 m/s. The two blocks collide and stick together. After the collision, the combined object (mass 20.0 kg) has velocity A) 0.50 m/s to the left B) 0.50 m/s to the right C) 1.0 m/s to the left D) 1.0 m/s to the right E) 2.5 m/s to the left F) 2.5 m/s to the right G) none of the above answers

Most geologists believe that the dinosaurs became extinct 65 million years ago when a large comet or asteroid struck the earth, throwing up so much dust that the sun was blocked out for a period of many months. Suppose an asteroid with a diameter of 2.0 km and a mass of 0.80*1013 kg hits the earth (6.0*1024 kg) with an impact speed of 4.1*104 m/s^{4} m m/s. What is the earth’s recoil speed after such a collision? (Use a
reference frame in which the earth was initially at rest.)

A 10.0-g bullet is fired into a stationary block of wood having mass m = 5.00 kg. The bullet imbeds into the block. The speed of the bullet-plus-wood combination immediately after the collision is 0.600 m/s. What was the original speed of the bullet?

A 7600-kg boxcar traveling 15 m/s strikes a second car. The two stick together and move off with a speed of 6.6 m/s. What is the mass of the second car?

If all three collisions in the figure are totally inelastic, which cause(s) the most damage (deformation of objects, thermal energy increase, etc.)? Assume that the wall is stationary and the car is completely stopped by it in the first diagram.
1. I, III
2. I
3. all three
4. I, II
5. II, III
6. III
7. II