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In the process of changing a flat tire, a motorist uses
ahydraulic jack. She begins by applying a force of 45N to theinput
piston, which has a radius r1. As a result, theoutput
plunger, which has a radius, r2, applies a forceto the
car. The ratio r2/r1 has a valueof 8.3.
Ignore the height difference between the input pistonand output
plunger and determine the force that the output plungerapplies to
the car.

Respuesta :

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Answer:

3100.05 N

Explanation:

[tex]F_1[/tex] = Force applied = 45 N

[tex]\dfrac{r_2}{r_1}=8.3[/tex]

From Pascal's law we have

[tex]\dfrac{F_1}{F_2}=\dfrac{A_1}{A_2}\\\Rightarrow \dfrac{F_1}{F_2}=\dfrac{\pi r_1^2}{\pi r_2^2}\\\Rightarrow F_2=F_1\dfrac{r_2^2}{r_1^2}\\\Rightarrow F_2=45\times 8.3^2\\\Rightarrow F_2=3100.05\ N[/tex]

The force on the output plunger is 3100.05 N

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