A car with a mass 1800 kilograms passes over a hill that follows an arc with a radius of 42 meters. a) If the car is moving with a speed of 16 meters/second at the top of the hill, find the normal force acting on the car. b) What g-force does the car experience? gravitational force. c) Determine the maximum speed the car can have at the top of the hill and still remain on the road.

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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A car with a mass 1800 kilograms passes over a hill that follows an arc with a radius of 42 meters.

a) If the car is moving with a speed of 16 meters/second at the top of the hill, find the normal force acting on the car.

b) What g-force does the car experience? gravitational force.

c) Determine the maximum speed the car can have at the top of the hill and still remain on the road.

Expert Solution
Step 1

GIVEN :

Mass of car m = 1800 kg

radius = 42 m

speed v = 16 m/s

(a) NORMAL FORCE ON THE CAR 

When a car is passing over a hill that follows an arc so there is centripetal force mv2r which is balanced by net force.

Normal force FN is balanced by gravitational force mg

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