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26 August, 22:36

A hydraulic lift consists of two pistons that connect to each other by an incompressible fluid. If one piston has an area of 0.15 m^2 and the other an area of 6.0 m^2, how large a mass can be raised by a force of 130 N exerted on the smaller piston?

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  1. 26 August, 22:51
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    You have:

    A1 = 0.15 m²

    A2=6.0 m²

    F1=130.0 N

    To solve this problem you must use the pressure formula, as below:

    P1=P2

    F1/A1=F2/A2

    Then, you have:

    m2=A2xF1/A1xg

    g=9.81 m/s² (This is the acceleration of gravity)

    When you substitute the values in m2=A2xF1/A1xg, you obtain:

    m2 = (0.60 m² x 130.0 N) / (0.15 m² x 9.81 m/s²)

    The answer is:

    m2=530 Kg
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