Hi I am not sure how to solve this problem can someone please help me and provid

Question

Hi I am not sure how to solve this problem can someone please help me and provide a step by step solution

P4.4 As in E4.6, a hydraulic lift is shown in the figure. A smaller cylinder is connected
through a tube to a larger cylinder. The surface area of the fluid in the smaller cylinder
is A1, and in the larger cylinder it is A2. Assume that A2 = 4A1 and that the fluid is incompressible. A heavy object is placed on a piston in the larger cylinder, as in the figure below. A smaller force F can exert a larger force F? on the other piston. If F = 100 N, what is the value of F?? Hint: Recall how force relates to the pressure p, which is the
same at the top of each cylinder, assuming we can ignore effects of gravity.

Explanation / Answer

Here ,

force F = 100 N

A2 = 4 * A1

as the pressure is same at same level in both tubes as these are connected

F/A1 = F'/A2

100/A1 = F1/(4 * A1)

solving for F'

F' = 400 N

the force exerted on the larger piston F' is 400 N

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