A hydraulic jack consists of an enclosed volume of oil, into which two cylindric

Question

A hydraulic jack consists of an enclosed volume of oil, into which two cylindrical pistons are inserted. The first piston has radius 2.5 mm, while the second piston has radius 75.0 mm. The larger piston supports the weight of a 910 kg car. (a) What is the force in newtons corresponding to the weight of a 910 kg car? (b) What force in newtons must I exert on the smaller piston in order to hold (or lift) the weight of the car? (In practice, the smaller piston would be replaced by an oil pump that pumps oil in or out through a narrow tube at the necessary pressure.)

Explanation / Answer

a)

We know that weight of any body m is

W=mg

So, force exerted by car will be ,

F=mg

F=910*9.81

F=8927.1N

b) now the pressure exterted will be same .

So let the force applied be F.

F/2.52=8927.1/752

F=9.919N

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