M-4 Arnold is driving his 4-wheel drive 1,000kg car (Arnold and the car together) on a road that goes over a hill the shape of a circular arc. As he goes over the hill, Arnold adjusts the accelerator pedal so a to maintain a constant speed the entire time even though the road steepness changes and it is a windy day. The figure below shows the car at two positions: 1. going up the hill where the road is inclined 20.0° with the horizontal, and 2. at the top of the hill. When at the top of the hill (position 2), the norma force of the road on the car is 7,800N. Position 2 Position 1 20.0 20.0% a) Draw a figure like the one above and show the free body diagram for the car in both positions. Show relative force magnitudes on both figures as accurately as possible. On both FBD's show the radial and tangential axes. b) Apply Fnet ma to find the centripetal acceleration of the car. c) Find the normal force on the car when it is at position 1 (going up the hill).

M-4 Arnold is driving his 4-wheel drive 1,000kg car (Arnold and the car together) on a road that goes over a hill the shape of a circular arc. As he goes over the hill, Arnold adjusts the accelerator pedal so a to maintain a constant speed the entire time even though the road steepness changes and it is a windy day. The figure below shows the car at two positions: 1. going up the hill where the road is inclined 20.0° with the horizontal, and 2. at the top of the hill. When at the top of the hill (position 2), the norma force of the road on the car is 7,800N. Position 2 Position 1 20.0 20.0% a) Draw a figure like the one above and show the free body diagram for the car in both positions. Show relative force magnitudes on both figures as accurately as possible. On both FBD's show the radial and tangential axes. b) Apply Fnet ma to find the centripetal acceleration of the car. c) Find the normal force on the car when it is at position 1 (going up the hill).