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A Car Drives Over The Top Of A Hill That Has A Radius Of 50m

A car drives over the top of a hill that has a radius of 50 m. What maximum speed can the car have without flying off the road at the top of the hill?

Answer: v = 22.147 m/s

Explanation

r = 50 m

The forces acting on the car are the normal reaction of the ground and the force of gravity.

According to Newton’s second law, we have:

F = ma

F = N -Fg

N = mg

Fg = mg

The maximum speed will be the speed at which the car barely touches the surface, so the force of the normal reaction of the ground can be neglected:

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