A cart of mass M traveling to the right on a frictionless track with a speed 4v0 collides with another cart of mass 2M traveling to the left with a speed v0. If this collision is perfectly elastic, and carts travel in opposite directions after collision, determine the speeds of the two carts immediately after the collision in terms of M and v0.

A particle of mass m (particle #1) is fired head-on at speed 48 m/s toward another particle of mass 3m (particle #2) which is at rest.  The result of this collision is that #1 comes to a complete stop, and #2 moves forward.  (a) At what speed does particle #2 emerge from the collision?  (b) What fraction of the original kinetic energy is lost during this process?

A 1.0 kg mass with a speed of 4.5 m/s strikes a 2.0 kg mass at rest. For a completely inelastic collision, find: (a) The speed of the masses after the collision. (b) The change in kinetic energy. (c) The momentum after the collision.

In the railroad freight yard, an empty freight car of mass m rolls along a straight level track at 1.20 m/s and collides with an initially stationary, fully loaded boxcar of mass 5.80m. The two cars couple together on collision. (a)What is the speed of the two cars after the collision? ___m/s (b)Suppose instead that the two cars are at rest after the collision. With what speed was the loaded boxcar moving before the collision if the empty one was moving at 1.20 m/s? ___m/s

During the collision between the ball and the racket, the velocity vector of the tennis ball is exactly reversed such that its speed is the same before and after the collision. Determine the speed of the ball assuming its mass to be 150 g. A nucleus A of mass 2 m moving with velocity 100 m/s collides inelastically with a stationary nucleus B of mass 10 m. After collision, the nucleus A travels at 90oto the original incident direction while B proceeds at an angle 37oto the original incident direction. a) Find the speeds of A and B after the collision.b) What fraction of the initial kinetic energy is gained or lost due to the collision? Two blocks having equal masses m1 = m2 = 10 kg are placed in contact on a surface inclined at an angle of 40ofrom the horizontal as shown in the figure below. The coefficient of static friction between the incline and the lower block is µs1 = 0.90 and the coefficient of kinetic friction is µk1 = 0.40. The respective coefficients between theincline and the…