QI/ Two balls of masses m = 0.5 kg and m2 = 1.5 kg are sliding toward each other on a straight frictionless track. If they experience a head-on elastic collision and if the initial velocities of m¡ and m2 are 0.6 m/s to the right and 3 m/s to the left, respectively, find the final velocities of two balls?

A ball of mass 1 kg moving with a speed of 2 m/s hits another ball of mass 2 kg at remains at rest if the first ball comes to rest after collision. The coefficient of restitution is

During an Olympic 100-m sprint race, Usain Bolt, the world record holder in that race, quickly accelerates to his top speed of 12.4 m/s. Analysis of his technique has shown that each of his feet make contact with the ground for 0.0800 s, exerting a force of magnitude 2.80 x 10° N during this contact. This allows the 94.0 kg Bolt to leap forward and remain airborne for 0.120 s until the next foot touches the ground. (Ignore air resistance.) (a) What are the magnitudes of the horizontal and vertical components of the force (in N) Bolt's feet exert on the ground? (Round your answers to at least three significant figures.) horizontal N vertical (b) Assuming that the sprinter accelerates at a constant rate while his feet are in contact with the ground and does not slow down when he is airborne, by what amount does Bolt's horizontal speed (in m/s) increase with each step? (Round your answer to at least three significant figures.) m/s (c) Assuming that the sprinter's speed increases at a…

A raliway wagon A of mass 12 x 103 kg coasting at 1.2 m/s on a horizontal track crashes head-on and couples with a wagon B of mass 10 x 103 kg coasting at 1 m/s in the opposite direction, as shown in Figure 6. Determine: a) the common speed of the wagons just after collision assuming that the wheels are free to roll during collision%3B b) the average force between the two wagons, if the coupling takes place in 0.9 s. 1.2 m/s 1 m/s B

Two discs of same size and mass are B colliding on a frictionless Air-Hockey table. Disc A is sliding towards disk B (at rest) on their tangent as shown. Determine the velocity of disc B after the impact and the energy lost in the collision, if the A coefficient of restitution is e. Solve the problem algebraically first, then solve it for v = 1m/s and e=0.85

A 42-lb suitcase slides from the rest 20 ft down the ramp. The suitcase has an initial velocity down the ramp of v_A = 7 ft/sft/s and the coefficient of kinetic friction along AB is μk = 0.19. (Figure 1) (a)  How long does it take to go from A to C? Express your answer to three significant figures and include the appropriate units. The answer is not 1.561 seconds.