A 74 kg cyclist is riding in his bicycle moves in a circle of radius 8m. The road exerts a central force of 332N. What is the speed of the cyclist?

A roller coaster cart is moving over the top of a circular hill that has a diameter of 56 m. What is the fastest safe speed that the roller cart can go over the top of the hill? (that is, at what speed will the cart begin to lose contact with the track?). Assume a coefficient of friction of 0.7.

Suppose I need to  toss an object of mass 5.2 up onto a shelf 5.94 meters above where my hands can reach. What is the minimum speed of toss necessary to do this? Your answer should be in meters per second, but don't write teh unit, just the number. You can approximate the acceleration due to gravity at the earth's surface as 10 meters per square second.

A stray dog catcher drives 34km east, picks up some dogs, then drives 10km west to drop them off before continuing east for 21km. 30N of force is being applied constantly parallel to the dog catcher's motion. Solve for the work the dog catcher has accomplished.

At the start of a race, a four-man bobsled team pushes their sled as fast as they can along a 50 m flat starting stretch. The net force that the four men together apply to the 325 kg bobsled is 80.093 N directed at 15 degrees below the horizontal. As they push, 60 N of kinetic friction opposes them. What is the speed of the sled right before the team jumps on the sled?