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.  

During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke’s law with a spring constant of 150 N/m. If the hose is stretched by 3.90 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length?