
A nurse uses a hydraulic lift to transfer a patient from a bed to a chair. The hydraulic piston has an area of 0.02 m2. If the patient has a mass of 80 kg, determine the gauge pressure of the hydraulic fluid
An 85 kg mechanic balances a 1450 kg car on the hydraulic lift shown below. When a second person joins the mechanic, the mechanic's piston goes down, creating a 38 cm height difference between the two pistons. Determine the mass of the second person. Take incompressible fluid density as 930 kg/m3.

A heavy toolbox that has a bottom surface area of 20.0cm2 is accidentally pressed inside of an automotive garage using a hydraulic lift. The hydraulic lift consists of a large piston that has a diameter of 30.0 cm and a small piston that has a diameter of 5.0 cm. The lift is operated by applying force on the small piston using a lever mechanism, that is similar to the one shown in the diagram below. The lever has a length of "𝐿". What is the pressure applied on the toolbox if 400 N is applied to the lever?
In a syringe, an applied force of 4.0 N acts upon a plunger with a diameter of 0.8 cm to push out liquid from its needle with an opening having a diameter of 0.15 mm. What would be the output force at which this liquid exits?