problem 1: A car travels around a curved path that consists of a radius of 225 m at a constant speed of 26.0 m/s. Determine the centripetal acceleration of the car?
problem 2: How fast can 1.6 x 10^{3} kg car round an unbanked curve radius 55 m if the co-efficient of friction between the car and the road is 0.60?
problem 3: A 0.150 kg mass is twirled in a horizontal circle of radius 0.750 m at a rate of 2.50 rps from the end of the string. Supposing the string is as well horizontal, determine the tension in the string?
problem 4: You are riding your bike (total mass = 95.0 kg) over a rise (r = 10.0 m) on a bike path. How fast must you be going so that your bike loses contact with the road?
problem 5: A student (m = 50.0 kg) is riding via a dip (r = 15.0 m) on a roller coaster at a speed of 10.0m/s. What will be the student’s apparent weight at the bottom of the dip?
problem 6: A 1.75 kg mass is swung in a vertical circle (r = 1.10 m) by using a cord which will break if it is subject to a force greater than 262 N. Determine the maximum speed that this mass can travel as it passes the bottom of the circle?
problem 7: A car travels around a curve (r = 60.0 m) at a speed of 22.0 m/s. At what angle should it be banked so that the car doesn’t have to rely on friction to remain on the road?
problem 8: An engineer is to design a curved exit ramp from a freeway for traffic with a maximum speed of 20.0 m/s. If she decides to bank the curve at an angle of 20.0º, what does the radius of the curve have to be?