You are driving your car over a circular-shaped bump in theroad that has a radiu

Question

You are driving your car over a circular-shaped bump in theroad that has a radius of curvature of 44.6 m. If the car istraveling at a constant speed of 15.3 m/s, calculate the apparentweight of your 55.2 kg passenger as you pass over the top of thebump.
What is the maximum speed that you can drive the carover the top of the bump without losing contact with theroad?
You are driving your car over a circular-shaped bump in theroad that has a radius of curvature of 44.6 m. If the car istraveling at a constant speed of 15.3 m/s, calculate the apparentweight of your 55.2 kg passenger as you pass over the top of thebump.
What is the maximum speed that you can drive the carover the top of the bump without losing contact with theroad?

Explanation / Answer

When the car is on the bump, the weight of the person actsdownward and thr centripetal force acts upward. Then the apparent weight of the person is m(g-v2/r)= (55.2kg)(9.8m/s2 - (15.3m/s)2/44.6m)                                                                               =251.2N for the car to keep contact the maximum spped of the caris obtained from the equation m(g-vmax2/r) =0 Then vmax = (gr)                = (9.8m/s2 * 44.6m)                = 20.906m/s

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