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What is the magnitude of the net force on the car?

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Final answer:

The magnitude of the net force on the car can be determined by considering the vertical forces acting on the car. The net vertical force must be zero, meaning the vertical component of the normal force must be equal in magnitude and opposite in direction to the weight of the car.

Step-by-step explanation:

The magnitude of the net force on the car can be determined by considering the vertical forces acting on the car. Since the car does not leave the surface of the road, the net vertical force must be zero. This means the vertical component of the normal force (N cos θ) must be equal in magnitude and opposite in direction to the weight of the car (mg).

For example, if the weight of the car is 5000 N and the angle θ is 30 degrees, then the magnitude of the net force on the car would be:

Fnet = N cos θ = mg = 5000 N cos 30° = 4330 N.

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