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Is this the answer to this question?

  1. Dec 19, 2007 #1
    1. (a) If a 22 pound baby sits atop a 1 ft^2 piston that is connected to a 10 ft^2 platform via sealed, water filled pipes, how heavy and massive of a car can the baby's weight lift (answer in pounds, Newtons, and Kilograms)?

    (b) If the baby's initial height on the piston is 10 ft, how high will the car be raised after the baby's piston is completely compressed?




    2. F=P/A



    3. 1 foot = 0.3048 meters
    1 ft² = 0.09290304 m²
    10ft² = 0.9290304 m²

    1 pound = 0.45359237 kilograms
    22 pounds = 9.97903214 Kg

    a) Pressure = Force / area
    Force = Weight of baby = 9.97903214 x 9.8 = 97.79451497 N
    Area = 0.09290304
    Pressure = 97.79451497 / 0.09290304 = 1052.651398 Pa
    Pressure in both piston the same .
    1052.651398 = Force / Area
    1052.651398 = Weigh of car / 0.9290304
    Weight of car = 977.9451497 N
    mass = 99.7903214 Kg .

    b)
    Volume of Liquid is same in both Pistons
    V = A x Height
    1ft²x10ft = X x 10ft²
    X=1 ft .
     
  2. jcsd
  3. Dec 19, 2007 #2

    Shooting Star

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    Homework Helper

    Your concept is abslolutely correct.
     
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