a small piston moves in a hydraulic system has a force of 10N and moves a distance of 100mm. Calculate the force required to move the large piston if it moves 20mm.

In our perfect world

work in =work out
Force in * distance in = Force out * distanceout
10 N * 100 mm = F * 20 mm
F = 1000/20 = 100/2 = 50 Newtons