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A roller coaster shown below is built in your town. The radius of the circular part is 20 meters. As a physics student, you are invited to take the first ride. You found that the speed of the car at the bottom of the circular motion is 35 m/s. A full load car weighs 5000kg. Assume energy is not dissipated in the process.
(a) Find the normal force on the car due to the track at the bottom of the track.
(b) Find the speed of the car at the top of the circle. (Hint: consider energy)
(c) Find the normal force on the car due to the track at the top of the circle.
(d) What is the minimum height H required for the car to reach the top of the circle? (Assume the car starts with zero velocity at the top of the hill.)
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