Answered

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A car lift has an input piston that has an area of 50 cm² and an output piston that has an area of 200 cm². If a 100 N force is applied to the input piston, what is the force produced by the output piston?

Sagot :

onyebuchinnaji

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.

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