problem 1: A 915 kg car goes over a hill. If the radius of this curve is 43 m, how fast should the car travel so that it applies no force on the road at the crest?

problem 2: A 2.0 kg object is being whirled in a circle of radius of 3.0 m. If the object takes 20 seconds to make 10 revolutions, then find out the speed of the object?

problem 3: A 5.0 kg object undergoing uniform circular motion takes 3.0 seconds to make one complete revolution around a circle of radius 4.0 m.

a) Determine the centripetal acceleration of the object?
b) Determine the centripetal force acting on the object?

problem 4: A 1050 kg roller coaster car (including a passenger) is moving in a vertical loop of radius 10 m at a speed of 35 m/s.

a) Determine the force of the track pushing up on the roller coaster car when the car is at the bottom of loop?

b) Determine the force of the track pushing up on the roller coaster car when the car is at the top of the loop?

c) Determine the actual weight of a 50 kg passenger on the roller coaster?

d) Determine the apparent weight of a 50 kg passenger on the roller coaster when the car is at the bottom of the loop?

e) Determine the apparent weight of a 50 kg passenger on the roller coaster when the car is at the top of the loop?

problem 5: Determine the minimum speed of a roller coaster car moving in a vertical loop of radius 10 m?