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3 February, 14:47

A person who weighs 864 N is riding a 85-N mountain bike. Suppose the entire weight of the rider plus bike is supported equally by the two tires. If the gauge pressure in each tire is 7.90 x 105 Pa, what is the area of contact between each tire and the ground?

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  1. 3 February, 18:06
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    A=60.06 x 10⁻⁵ m²

    Explanation:

    Given that

    Weight of the person = 864 N

    Weight of the bike = 85 N

    The total weight, car + bike, Wt = 864 + 85 N

    Wt = 949 N

    2 p = 949 N

    The weight on the each tire (F) = 474.5 N

    P = 7.9 x 10 ⁵ Pa

    We know that

    Force = Pressure x Area

    F = P A

    By putting the values

    474.5 = 7.9 x 10 ⁵ A

    A=60.06 x 10⁻⁵ m²

    Therefore area of contact A

    A=60.06 x 10⁻⁵ m²
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