Piston 2 has a diameter of 9.76 cm. In the absence of friction, determine the force required on piston 1 necessary to support an object with a mass of 911 kg placed on piston 2. (Neglect the height difference between the bottom of the two pistons, and assume that the pistons are massless).

370 N

Explanation:

We can solve this problem by applying Pascal's principle, which states that the pressure in the liquid under the pistons is transmitted equally to every part of the liquid.

This means that the pressure on the two pistons is the same. Therefore, we can write:

(1)

where

are the forces on piston 1 and 2

is the cross-sectional area of piston 1 and 2

In this problem, we have:

is the force on piston 2, where

m = 911 kg is the mass on the piston

is the acceleration due to gravity

The diameter of piston 2 is d = 9.76 cm = 0.0976 m, so its area is

The diameter of piston 1 is d = 1.99 cm = 0.0199 m, so its area is

So, solving eq.(1), we find the pressure on piston 1:

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explanation: