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27 August, 13:14

A 51.0-kg woman wearing high-heeled shoes is invited into a home in which the kitchen has vinyl floor covering. The heel on each shoe is circular and has a radius of 0.400 cm. If the woman balances on one heel, what pressure does she exert on the floor?

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  1. 27 August, 15:13
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    Pressure = 9.94 x 10⁶ Pascals

    Explanation:

    given data

    mass = 51 kg

    radius = 0.400 cm

    solution

    we know Pressure that is express as here

    Pressure = total force on an area : the area of the area ... 1

    and

    Force is the woman's weight so weight will be

    Weight = mass * gravity ... 2

    put here value

    Weight = 51 * 9.8 m/s²

    Weight = 499.8 Newtons

    and

    Area of a circle of bottom of the heel = (π) * (radius) ² ... 3

    put here value

    Area = (π) * (0.40 cm) ²

    Area = 0.502654 cm²

    Area = 0.0000502654 m²

    and

    now we put value in equation 1 we get

    Pressure = force : area

    Pressure = 499.8 : 0.0000502654

    Pressure = 9943221.381 N/m²

    Pressure = 9.94 x 10⁶ Pascals
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