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Suppose a car goes over a bump that is curved downward with a radius of 17.8 m. The mass of the car and its passengers is 1750 kg. When the car is at the highest point of the bump its speed is 8.70 m/s. Calculate the magnitude of the force in N) exerted by the road on the car at this highest point

Respuesta :

MathPhys

Answer:

9710 N

Explanation:

There are two forces acting on the car.  Normal force from the road pushing up, and weight pulling down.

Apply Newton's second law in the radial direction (towards the center of the circular path):

∑F = ma

mg − N = mv²/r

N = mg − mv²/r

Given m = 1750 kg, v = 8.70 m/s, and r = 17.8 m:

N = (1750 kg) (9.8 m/s²) − (1750 kg) (8.70 m/s)² / (17.8 m)

N = 9710 N

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