Calculating Force and Distance in a Hydraulic Lift System

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AI Thread Summary
In a hydraulic lift system with piston radii of 2.50 cm and 10 cm, a force of 612.5 N is needed to lift a 1000 kg car. The user is struggling to calculate how far the car is lifted when the smaller piston is pushed down by 10 cm. They attempted to use the pressure formula but are unsure of the next steps. Clarification on applying the hydraulic principle of force and distance is needed to solve the problem. The discussion highlights the importance of understanding hydraulic mechanics in practical applications.
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Homework Statement


In a hydraulic lift, the radii of the pistons are 2.50 cm and 10 cm. A car of mass 1000 kg is to be lifted for inspection.

b) what force must be applied to the proper piston to be able to lift the car with ease?

C) If the smaller piston is pushed by 10 cm, how far is the car lifted?

Homework Equations



P2 = P1 + pgd
P = F/A

The Attempt at a Solution



I found that in b, the required force is 612.5 N, however for C I just don't know what to do. I try putting in 10 cm into the first formula (converting 10 cm into 0.1 m), however I just don't know what to do from there.
 
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Please, can anyone help me.
 
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