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A roller coaster ride includes a circular loop with radius R = 11.6 m. What minimum speed must the car have at the top to stay in contact with the tracks?

How would I go around solving this, as in what formula would I need?

  • Physics -

    The centripetal acceleration is given by v²/r m/s².
    Acceleration due to gravity is g=9.8 m/s²

    If one is to offset the other, they must be equal. at the highest point of the loop.

    So set
    v²/r = g
    to solve for v.
    Note: at this speed, the normal force on the track is zero.

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