A highway exit ramp was constructed at an angle of 12 degrees and has a radius of 54m. What speed limit should be posted to ensure that drivers can maneuver the curve safely without relying on friction? Include a force diagram.   Why is it possible (although not recommended!) to make it through a curve driving faster than the proposed speed limit?

Mr. M is a professional race car driver. The race track he is about to drive on has a curve that is designed so that the smallest circular curve he can take has a radius of 112m and the biggest circular curve he can take has a radius of 165m. The height of the outer wall of the track is 18m. The race is happening after a snow storm, so he is assuming there is no friction. What is the fastest speed he can safely take this corner?

A hang glider and its pilot have a total mass equal to 120 kg. While executing a 360 degree turn, the glider moved in a circle with an 8 m radius at a speed of 10 m/s  a) What is the net force on the hang glider? b) What is the acceleration?

You’re driving your pickup truck around a curve that has a radius of 20 m. How fast can you drive around this curve before a steel toolbox slides on the steel bed of the truck?