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A hydraulic jack is going to be used to lift a $10{,}000\text{ N}$ automobile up off of the ground. The radius of the input piston is $4\text{ cm}$, and the radius of the output piston is $8\text{ cm}$.

Which of the following most closely approximates the necessary input force?

A

$2{,}500\text{ N}$

B

$5{,}000\text{ N}$

C

$20{,}000\text{ N}$

D

$40{,}000\text{ N}$

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