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 cir

Question

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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Mộc Miên 3 years 2021-08-21T19:16:51+00:00 1 Answers 8 views 0

Answers ( )

  1. thienhuong
    0
    2021-08-21T19:18:28+00:00
    Reply

    Answer:

    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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