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Answer:
The force produced by the output piston is 400 N.
Explanation:
Given;
area of the input piston, A₁ = 50 cm²
area of the output piston, A₂ = 200 cm²
load on the input piston, F₁ = 100 N
Let the force produced by the output piston, = F₂
From Pascal's principle, the ratio of the input force to the input area is equal to the ratio of the output force to the output area.
[tex]\frac{F_1}{A_1} = \frac{F_2}{A_2} \\\\F_2 = \frac{F_1A_2}{A_1} = \frac{100 \times 200}{50} = 400 \ N\\[/tex]
Therefore, the force produced by the output piston is 400 N.