4. A roller coaster car with its three passengers (a total of 450. kg) is pulled up to the top of a 30.0 meter hill where it is released at a speed of 1.00 meter per second to begin its hurtle down the track toward a 15.0 meter diameter loop the loop at the bottom. Unfortunately the maintenance crew still has some work to do on the old rusty roller coaster track and the average frictional force on the 65.0 meter long angled descent is 595 N. Luckily the loop the loop portion of the roller coaster track has been recently polished and Teflon coated to reduce friction to practically nothing. What will be the speed of the car at the top of the loop the loop, and will this be enough to have the car stay on the track all the way round the loop?

10. A stationary block is released on a frictionless ramp at a height of 3.0 m. There are other hill heights along the ramp as shown in the figure. The hills have identical circular tops, and the block does not fly off any hill. If the mass of the block is 4 Kg, what would be the velocity as it passes hill (1)?

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1. When a car goes around a turn at constant speed, how much work is done by the centripetal force? Justify your answer.

A rock is attached to an end of a 0.80 m rope. You whirl the 2.0 kg rock in a circle while holding m the other end of the rope. If it moves at a constant speed of 6.0 -, what is the work done on S the rock for every revolution it makes? O 90 J zero 72 J O 16 J

13) What average mechanical power must a 65.0 kg mountain climber generate to climb to the summit of a hill of height 325 m in 45.0 min? Note: Due to inefficiencies in converting chemical energy to mechanical energy, the body calculated here is only a fraction of the power that must be produced by the climber's body. 14) A 50.0 kg child takes a ride on a Ferris wheel that rotates 5 times each minute and has a diameter of 18.0 m. What is the centripetal acceleration of the child? 5