A baseball (solid sphere) is rolling without slipping along…

A baseball (solid sphere) is rolling without slipping along the level ground with a translational speed of 10.0 m/s. It then starts rolling without slipping up a hill, stopping after having traveled 25.0 m along the surface of the hill. What angle does the hill make with the horizontal? 

A merry-go-round with a mass of 150 kg is coasting at 3.0 ra…

A merry-go-round with a mass of 150 kg is coasting at 3.0 rad/s. Think of the merry-go-round as a solid cylinder with a radius is 3.0 m. A 45kg kid is riding the merry-go-round, standing on its rim. Just after the kid steps radially off the merry-go-round, what is the angular velocity?

A police car is chasing another car that was used in a bank…

A police car is chasing another car that was used in a bank robbery. The police car has a mass that is 1.2 times the mass of the car it is chasing. The police car has a speed of 40.0 m/s, and the other car is traveling at 35.0 m/s. The police car rams the back of the robber’s car. Afterward, the police car is going 35.0 m/s. How fast would the robber’s car be going after the collision?

Two kids are at a swimming pool. They both start from rest,…

Two kids are at a swimming pool. They both start from rest, one dropping from the high diving board, and the other going down the slide. If the slide starts at the same height as the diving board, which kid is going faster when they hit the water? Ignore friction and air resistance.

Professor Lewin has a bowling ball (m = 7.0 kg) attached to…

Professor Lewin has a bowling ball (m = 7.0 kg) attached to the end of a 4.0 m long cord. The other end is affixed to the ceiling, allowing the ball to swing freely at the end of the cord. He pulls back the bowling ball so that the cord makes an angle of 60° with the vertical and drops the ball from rest. How fast is the ball going when the cord is vertical, at the bottom of the arc? Ignore air resistance and friction.