Question

Peter Parker is driving to rescue his friends and go through a banked curve of angle theta. He did not realize Prowler has frozen the road. Suppose that the radius of curvature of the given curve is 60m and that Peters speed is a uniform 40km/hr. (1km is 1000m). Note that there is no friction due to the road being frozen.

1a. Draw a free body diagram on the car. Assume one of your positive axes to be going with the acceleration.

1b. Break down your forces into there components.

1c. Write Newton's law for the car in the y-direction. (Leave it in terms of variables)

1d. Write Newton's law for the car in the x-direction. (Leave it in terms of variables)

1e. Solve for angle theta where Peter would be able to make it.

1f. What force(s) are contributing to the centripetal acceleration?

1g. Explain what would happen to the car if we were going at 60km/h instead of 40km/h.

Answer 1