help please! physics question pt 4 (:

Question

A car drives over a hill at a speed v. The car as a mass m and the hill has a radius of curvature of r. The ground exerts a normal force of FN. Calculate the normal force of the ground up on the car. The car has a speed of v=15 m/s, with a mass of 1145 kg, and the hill has a radius of curvature of r=34 meters. Give your answer ...
in terms of Newtons. Do not include units in your answer. They will be assumed to be Newtons.
to a precision of integer Newtons. Use a format like ### or #### in your answer (no decimal point).
to an accuracy of 2 Newtons. Answers within 2 Newtons of the correct answer will be tolerated.

Answer 1

I am assuming the car is at the pick of the hill, as you mentioned that it is crossing over.

Forces on the car along vertical direction are Fn(up), mg(down)

centripetal force mv^2/r = mg -Fn

 

Fn = mg -  mv^2/r = m ( g - v^2r/2) = 1145 * (9.8 - 15 * 15 /(2 *34) ) = 7432