A hydraulic jack is used to lift a 2000 pound car. If the output piston (the one the car is sitting on) has an area of 60 square inches, how much force must be applied to the 0.5 square inch input piston to lift the car?

____ pounds?

daw

16.67 To find the force that must be applied to the input piston to lift the car, we can use the principle of Pascal's law which states that pressure is transmitted equally in a confined fluid.

First, we need to determine the pressure applied by the car on the output piston. We can calculate this by dividing the weight of the car (2000 pounds) by the area of the output piston (60 square inches):

Pressure = Weight / Area
Pressure = 2000 pounds / 60 square inches

Next, we can determine the force required to lift the car by multiplying the pressure on the output piston by the area of the input piston:

Force = Pressure * Area
Force = (2000 pounds / 60 square inches) * 0.5 square inches

Now, let's solve this equation to find the force:

Force = (2000 / 60) * 0.5 = 33.333 pounds

Therefore, approximately 33.333 pounds of force must be applied to the 0.5 square inch input piston to lift the car.