A sports car (and its occupants) of mass M is moving over the rounded top of a hill of radius R. At the instant when the car is at the very top of the hill, the car has a speed v. You can safely neglect air resistance. (A) At the instant when the car is at the very top of the hill, draw a force diagram for the car (B) Starting from Newton's 2nd law, calculate the force exerted by the road on the car. (C) Under what conditions will the force exerted by the road on the car be zero?

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Chapter1: Units, Trigonometry. And Vectors
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2. A sports car (and its occupants) of mass \( M \) is moving over the rounded top of a hill of radius \( R \). At the instant when the car is at the very top of the hill, the car has a speed \( v \). You can safely neglect air resistance.

(A) At the instant when the car is at the very top of the hill, draw a force diagram for the car.

(B) Starting from Newton's 2nd law, calculate the force exerted by the road on the car.

(C) Under what conditions will the force exerted by the road on the car be zero?
Transcribed Image Text:2. A sports car (and its occupants) of mass \( M \) is moving over the rounded top of a hill of radius \( R \). At the instant when the car is at the very top of the hill, the car has a speed \( v \). You can safely neglect air resistance. (A) At the instant when the car is at the very top of the hill, draw a force diagram for the car. (B) Starting from Newton's 2nd law, calculate the force exerted by the road on the car. (C) Under what conditions will the force exerted by the road on the car be zero?
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