At the bottom of the hill, the wheel rolls up a ramp and flies off. It is flying at a linear speed of 10.0 m/s and spinning at a rate of 50.0 rad/s. If the wheel’s mass is 10.0 kg and it has a radius of 5.00 cm, what is the total kinetic energy of the wheel as it flies through the air? Assume the wheel has the same moment of inertia as a disk of the same mass and radius.

Assume an ice skater in the ending position, with arms and legs folded in, has a moment of inertia of 0.80 kg*m2. Also assume the skater starts with both arms and one leg out and has a moment of inertia in this configuration of 3.2 kg*m2. If he ends spinning at 1.3 rev/s, what is his angular speed at the start?

3-18.jpg At what points is the elastic potential energy the greatest?

At what frequency will a 1 kg mass oscillate if it is attached to a spring with a spring constant of 1000 N/m, is stretched 0.5 m, and then released?

When a 76.8 kg man stands on a pogo stick, the spring is compressed 0.164 m.What is the force constant of the spring?

At what speed (in m/s) would a 1.87 ✕ 104 kg airplane have to fly to have a momentum of 1.71 ✕ 109 kg · m/s (similar to the momentum of a large moving ship)?

A rubber ball with a mass of 0.120 kg is dropped from rest. From what height was the ball dropped, if the magnitude of the ball’s momentum is 0.750 kg · m/s just before it lands on the ground?

3-18.jpgAt what points is the mass at the amplitude?

Suppose a piece of dust finds itself on a DVD. If the spin rate of the DVD is 52 rad/s, and the piece of dust is 4.3 cm from the center, what is the total distance traveled by the dust in 3.0 minutes?

Which one of the following best describes the rate of injection for palatal local anesthetic procedures?