Question

If you drive fast enough over the crest of a hill your car becomes momentarily airborne....

If you drive fast enough over the crest of a hill your car becomes momentarily airborne. One particular hill can be approximated by part of a vertical circle with a radius of 200 m. How fast should you drive over this hill to just barely lose contact with the road as you crest it?

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Answer #1

At the top of the crest of the hill, weight of the car will be acting downwards and centripetal force will be acting upwards.

Let be the velocity of the car when the car barely lose contact with the road.

When the car barely lose contact with the road, the centripetal force will be equal to the weight of the car

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