A 60-kg swimmer suddenly dives horizontally to the left from a 100-kg raft with a speed of 2.5 m/s. The raft is initially at rest. What is the velocity of the raft immediately after the diver jumps?

A very hard rubber ball (m = 0.2 kg) is falling vertically at 5 m/s just before it bounces on the floor. The ball rebounds back at essentially the same speed. If the collision with the floor lasts 0.05 s, what is the average force exerted by the floor on the ball?

As part of a carnival game, a ?b=0.528 kgmb=0.528 kg ball is thrown at a stack of 22.8 cm22.8 cm tall, ?o=0.403 kgmo=0.403 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.1 m/s.vb,i=11.1 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=3.10 m/svb,f=3.10 m/s in the same direction, the topmost object has an angular velocity of ?o=4.03 rad/sωo=4.03 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located ?=16.0 cmr=16.0 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass?   ?o=Io=   kg⋅m2kg⋅m2 What is the center of mass velocity ?o,cmvo,cm of the tall object immediately after it is struck?

A 6420 kg space probe, moving nose-first toward Jupiter at 189 m/s relative to the Sun, fires its rocket engine, ejecting 110 kg of exhaust at a speed of 241 m/s relative to the space probe. What is the final velocity of the probe? Number M. i Units