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A car is travelling up one side of a hill and down the other side.The crest is a circular arc with radius of 45m. Determine the maximum speed that the car can have while moving over the crest without losing contact with the road.

  • physics -

    Contact will be lost if V^2/R > g
    At higher V, gravity will not provide enough centripetal force to keep it on the road.

    The maximum V that allows road contact is
    when V^2/R = g

    V = sqrt(gR)

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