in the hydraulic machine shown, you observe that when the small piston is pulled down 10cm, yhe large piston is raised 1 cm. if the small piston is pushed down with a force of 100n, what is the most weight that the large piston can support?

Answer 1

Piston displacement * Force = constant (The same for for both pistons)

If "1" denotes the small piston and "2" the large piston,
Force2/Force1 = Disp1/Disp2 = 10

Force 2 = 10 * Force1 = 1000 N