Conservation of energy problem dealing with a frictionless pulley and two masses. Solution in MS Word.

A system containing a frictionless pulley is described in the diagram (see question attachment). If this system is released, at what speed does the 12.0 kg object hit the floor? HINT: Does the 12.0 kg object undergo free fall? Why or why not?

Centripetal acceleration on a frictionless circular track involving springs. Solution in JPG format.

A car is to be launched down a frictionless track by compressing a spring behind the car and releasing it - much the same as a pinball machine. If the track contains a circualr vertical loop of radius R, how far must the spring be compressed (x) in order for the car to stay on the track? Given: mass of the car m=840kg. R=6.2m

Calculation of maximum kinetic energy of a spring using various masses. Solution in JPG format.

An ideal, massless spring, pointing upwards from a surface has a mass of 3.0 kg placed on it, compressing it by 25 cm. The 3.0 kg mass is replaced by a 5.0 kg mass. The spring is then compressed by hand so that the end of the spring is 67 cm lower than the position of the spring when no mass is attached. The spring is then released. What is the maximum kinetic energy of the 5.0 kg mass?

Projectile motion

A bullet fired horizontally is aiming at an object which starts falling at the instant the bullet is fired. Will the bullet hit the object ?

Working with the dynamics of circular motion.

The first problem has to do with circular motion. A fairground attraction called the rotor is a spinning drum with a movable floor that is dropped down as the drum speeds up. The people are held onto the wall by friction. If the minimum friction coefficient is 0.5 what is the rotation rate required before the floor is dropped. The radius of drum is 5.0m.