In a hydraulic garage lift, the small piston has a radius of 4.0 cm and the larg

Question

In a hydraulic garage lift, the small piston has a radius of 4.0 cm and the large piston has a radius of 20 cm. What force must be applied on the small piston in order to lift a car weighing 20,000 N on the large piston? Assume the pistons each have negligible weight.

An object of a material A of density 10.6 g/cm3 is placed in a tub of mercury (density 13.6 g/cm3). Which answer best describes the result?

-The object A will float with about 78% of its volume above the surface of the mercury

-The object will float with its top exactly even with the surface of the mercury.

-The object will float with about 22% of its volume above the surface of the mercury.

-The object will sink to the bottom of the mercury

Explanation / Answer

1)

Appy Pascal's law

P1 = P2

F1/A1 = F2?A2

F1/(pi*r1^2) = F2/(pi*r2^2)

F1 = F2*(r1/r2)^2

= 20000*(4/20)^2

= 800 N

2) The object will float with about 22% of its volume above the surface of the mercury.

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