Two ice skaters stand facing each other at rest on a frozen pond. They push off against one another and the 48 kg skater acquires a speed of 0.69 m/s. If the other skater acquires a speed of 0.84 m/s, what is her mass in kilograms?

A hungry 3.74 kg fish swimming at 2.47 m/s swallows a 1.18 kg fish that was swimming towards it at 2.98 m/s. What is the final speed (in m/s) of the formerly hungry fish?

During a game of football, a 108 kg player running at a speed of 9.1 m/s is tackled from the front by a 91 kg opponent at a speed of 6.3 m/s. What is the speed of the pair of players immediately after the collision (assuming the players are glued together)?

A man of mass m1 = 70.0 kg is skating at v1 = 8.00 m/s behind his wife of mass m2 = 50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collides with her. He grabs her around the waist, and they maintain their balance. (a) Sketch the problem with before-and-after diagrams, representing the skaters as blocks. (b) Is the collision best described as elastic, inelastic, or perfectly inelastic? Why? (c) Write the general equation for conservation of momentum in terms of m1, v1, m2 , v2 , and final velocity vf . (d) Solve the momentum equation for vf . (e) Substitute values, obtaining the numerical value for vf , their speed after the collision.

Two asteroids collide and stick together. The first asteroid has mass of 15 × 103 kg and is initially moving at 770 m/s. The second asteroid has mass of 20 × 103 kg and is moving at 1020 m/s. Their initial velocities made an angle of 20° with respect to each other. What is the final speed and direction with respect to the velocity of the first asteroid?

Consider two hockey pucks, each with mass 1.25 kg, on frictionless ice. Puck A is initially moving due east at 2.35 m/s towards puck B, which is initially stationary. The pucks collide head on. After the collision, puck B moves east with a speed of 1.45 m/s. (a) What is puck A's speed (in m/s) after collision? What direction is it moving in? (b) How much kinetic energy (in Joules) is lost from the system during the collision? (c) If the collision were completely elastic, what would the final speed and direction of each puck be?

Consider two objects on a collision course. Object 1 has a mass of (35 kg) and is initially moving with a velocity of (3 m/s ˆx). Object 2 has a mass of (22 kg) and is initially moving with a velocity of (5 m/s -ˆx).a) If the objects collide inelastically and stick together, what is their post-collision speed?b) If the collision occurs over a time of (0.05 s), what is the force that the objects experienced?c) If the objects instead collided elastically, what is the final speed of each object?