Question

A 1000-kg car moves at an utmost speed so that it does not skid off the 50-m radius level track. If coefficient of static friction between road and wheels is 0.80. What is utmost speed? Imagine that the gravitational constant is 10.0 N/kg =10.0 m/s. Utilize the simulations in 4.5 Car Circles a Track to verify the answers. 

Question 1: Force Diagram
creates a force diagram for the car when it has gone halfway around the track. Suppose the car is moving and illustrate a diagram as seen from the front of the car. The center of the track is toward the right, and the sky is upward. 

Question 2: Newton's Second Law (vertical y-component form)
write down an equation for the vertical y-component form of Newton's second law. Find out the magnitude of the normal force. Next use a force law equation to determine magnitude of the static friction force. 

Question 3: Newton's Second Law (radial component form)
write down an equation for the radial component form of Newton's second law. Use this to determine the highest speed that car can travel so that it does not skid (so that friction can provide the needed force to keep the car moving in a circle). Once you calculate utmost speed adjust the speed slider in the 4th simulation to this speed and see if the car stays on track.