A diagram shows two cylinders containing two pistonsA and B. The two cylinders are connected with a tube containing a fluid. The system is similar to the hydraulic braking system of a car. A man pushes down on piston A while piston B has a 10kg mass sitting on it. The surface area of piston A is 50 times larger than the surface area of piston B.

Pressure is transmitted through the fluid with no losses.
Show by calculation why the man is unable to lift 10kg of mass.

1 answer

force = pressure * area
weight of 10 kg = 9.81*10 = 98.1 N
weight of man = maybe 100kg*9.81 = 981 N
981 /50A = pressure
force up on other end = pressure * A
= 981/50
= 19.62 Newtons
well he needs about 100 N and his whole weight only produces about 20 N even though he is a 220 pound man (about 100 kg)