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18 April, 22:34

A car on a 25-m2 hydraulic lift platform weighs 15,000 N. If the force on the smaller piston required to lift it is 1/100 its weight, what is the area of the smaller piston?

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  1. 18 April, 22:51
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    The area is 2.5 m²

    Explanation:

    Step 1: Data given

    A car has a 25 m² hydraulic lift platform that weighs 15000 N

    The smaller piston required a force to lift = 1/100 its weight

    Step 2: Calculate the area of the smaller piston

    Pressure = Force / Area

    F1 / A1 = F2 / A2

    ⇒ with F1 = weight of the hydraulic lift = 15000 N

    ⇒ with A1 = area of the hydraulic lift = 25 m²

    ⇒ with F2 = 1/100 of it's weight = 1500 N

    A2 = F2 / (F1/A1)

    A2 = 1500 (1500/25)

    A2 = 2.5

    The area is 2.5 m²
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