Consider an isolated system in which a coach swings a baseball attached to a rope in a circle. The rope has a length of 2.25 m and the baseball's rotation around the coach has a period of 0.75 s. While the baseball is in motion, the coach pulls on the rope, reducing its length to 1.75 m. What is the new angular velocity of the baseball?

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?