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Classical Mechanics

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Hydraulic Principle: Dentist's Chair Lift

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A dentist is in the process of buying a dentist chair for his office. One of the choices allows the dentist to raise the chair by applying a maximum force of $160 \space N$ to a hydraulic pedal of an area of $0.0025 \space m^2$.

The chair is lifted by a hydraulic cylinder of an area of $0.091 \space m^2$, attached to the chair's base. Assume that the enclosed fluid is incompressible.