You are driving your car over a circular-shaped bump in the road that has a radi

Question

You are driving your car over a circular-shaped bump in the road that has a radius of curvature of 76.9 m.

If the car is traveling at a constant speed of 16.9 m/s, calculate the apparent weight of your 55.6 kg passenger as you pass over the top of the bump.

What is the maximum speed that you can drive the car over the top of the bump without losing contact with the road?

Explanation / Answer

(a)N + mv^2/r = mg ===>apparent weight N = 55.6*9.8 - 55.6*16.9*16.9/76.9 = 338.38 N (b) the maximum speed that you can drive the car over the top of the bump without losing contact with the road mv^2/r = mg ===> v^2 = gr ===> v = 27.452 m/s

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