56. Two blocks of masses m₁ = 2.00 kg and m₁ = 4.00 kg are each released from rest at a height of 5.00 m on a friction- less track, as shown in Figure P6.56, and undergo an elas- tic head-on collision. (a) Determine the velocity of each block just before the collision. (b) Determine the velocity of each block immediately after the collision. (c) Deter- mine the maximum heights to which m₁ and m₂ rise after the collision. 5.00 m m₁ = 2.00 kg m₁ = 4.00 kg Figure P6.56 5.00 m

I. A lump of clay (m = 3.00 kg) is thrown towards a wall at speed v = 3.00 m/s. The lump sticks to the wall. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. II. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 3.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. III. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 2.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during…

A 61g ball traveling at 6.3 m/s is caught by a 220g pendulum bob. The center of mass of the pendulum / ball system reaches a maximum height of 10.4 cm (relative to the initial rest position) after the collision. Calculate the kinetic energy of the pendulum/ball system in the instant after the collision (Kball+bob). Use L=30.2cm and R=26.3cm

160 v2=4127- 2. Determine the final velocity of the masses below if they experience an inelastic collision. Pay careful attention to which direction they are traveling! V= 12MIs m: 18 kg V=12m/s

1. A lump of clay (m = 3.00 kg) is thrown towards a wall at speed v = 3.00 m/s. The lump sticks to the wall. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wallI. (c) Calculate percent of initial kinetic energy lost during this collision. II. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 3.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. III. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 2.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost…

2. Conservation of Linear Momentum See Figure 2. Block 1 of mass m₁ slides from rest along a frictionless ramp from an unknown heighth and then collides with stationary block 2, which has mass m₂ = 3m₁ . The collision is an elastic one. After the collision, block 2 slides into a friction-filled region where the coefficient of kinetic friction is 0.5 and comes to a stop through a distance d = 10 m in that region. (a) What is the height h? (ANSWER: h = 20 m) (b) What is the velocity of block 1 just after the collision? (ANSWER: (-)10 m/s) (If the collision were instead, completely inelastic (that is, the objects stick together, what is the height h?)