Three ice skaters meet at the center of a rink and each stands at rest facing the center, within arm's reach of the other two. On a signal, each skater pushes himself away from the other two across the frictionless ice. After the push, skater A with mass mA = 70.0 kg moves in the negative y-direction at 2.50 m/s and skater B with mass mB = 75.0 kg moves in the negative x-direction at 3.00 m/s. Find the x- and y-components of the 90.0 kg skater C's velocity (in m/s) after the push.

A 46.0-kg skater is traveling due east at a speed of 2.60 m/s. A 66.0-kg skater is moving due south at a speed of 6.10 m/s. They collide and hold on to each other after the collision, managing to move off at an angle  south of east, with a speed of vf. Find (a) the angle  and (b) the speed vf, assuming that friction can be ignored.

Alice has a mass of 62.0 kg and Bob has a mass of 84.0 kg and they are initially standing at rest with respect to one another on a frictionless surface. They push against each other such that Alice moves at 0.04 m/s relative to her starting point. With what speed does Bob move away from his initial position? a. 0.03 m/s b. 0.09 m/s c. 1.21 m/s d. 32.2 m/s e. 1.6 m/s

A metal object of mass m = 45.77 g with sharp edges hits a wooden block of mass M = 425.3 g at rest on a horizontal surface. Assume that the coefficient of kinetic friction between the block and the surface μk is 0.43. When the metal object hits the block, it is stuck with the block and both start to slide together with velocity vf. They move together after the collision, and stop after sliding ∆x = 1.95 m. What is the initial velocity vi of the metal object before it hits the block in m/s? Keep three significant figures for the answer.