A puck of mass m = 1.60 kg slides in a circle of radius r = 18.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 3.0 kg by a cord through a hole in the table. What speed keeps the cylinder at rest?

Suppose the coefficient of static friction between the road and the tires on a car is 0.4 and the car has no negative lift. What speed will put the car on the verge of sliding as it rounds a level curve of 46.0 m radius?

One end of a 2.0-m long string is fixed; the other end is attached to a 4.0-kg stone. The stone swings in a vertical circle, passing the bottom point at 4.0 m/s. The tension force of the string at this point is about:

The only force acting on a 3.5 kg body as it moves along the positive x axis has an x component Fx = -5x N, where x is in meters. The velocity of the body at x = 2.3 m is 9.6 m/s. What is the velocity of the body at x = 4.1 m? 

A flywheel with a diameter of 1.23 m is rotating at an angular speed of 150 rev/min. What is the linear speed (in m/s) of a point on the rim of the flywheel? 

A 8.5 kg ball moving at 22.5 m/s on ahorizontal, frictionless surface runs into a light spring of force constant 6.5 N/cm. Use the work-energy theorem to find the maximum compression (in m) of the spring. 

A spring with a spring constant of 2900 N/m is initially stretched until the elastic potential energy of the spring is 1.70 J. (U = 0 for the relaxed spring.) What is ΔU if the initial stretch is changed to a stretch of 2.3 cm.

How fast must a 1.78-g ping-pong ball move (in m/s) in order to have the same kinetic energy as a 220.5 g baseball moving at 55.5 m/s?

The only force acting on a 3.6 kg body as it moves along the positive x axis has an x component Fx = -5x N, where x is in meters. The velocity of the body at x = 2.5 m is 9.5 m/s. What is the velocity of the body at x = 4.7 m?

A block of mass m = 2.10 kg is dropped from height h = 31.0 cm onto a spring of spring constant k = 1320 N/m (see the figure). Find the maximum distance the spring is compressed.