Question

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.

Answer 1

3100.05 N

Step-by-step explanation:

`F_1` = Force applied = 45 N

`(r_2)/(r_1)=8.3`

From Pascal's law we have

`(F_1)/(F_2)=(A_1)/(A_2)\\\Rightarrow (F_1)/(F_2)=(\pi r_1^2)/(\pi r_2^2)\\\Rightarrow F_2=F_1(r_2^2)/(r_1^2)\\\Rightarrow F_2=45* 8.3^2\\\Rightarrow F_2=3100.05\ N`

The force on the output plunger is 3100.05 N