A car weighing 1500 kg stands on a hydraulic press with a piston of 3m ^ 2.

A car weighing 1500 kg stands on a hydraulic press with a piston of 3m ^ 2. What should be the area of the other piston for a 50 kg person standing on it to balance the car?

M1 = 1500 kg – vehicle weight
M2 = 50 kg – human weight
S1 = 3 m2 – the area of the piston under the car
S2 =? – the area of the piston under the person
In order for the pistons in the press to be balanced, it is necessary that the pressure p1 generated by the car be equal to the pressure p2 created by the person.
p1 = p2
р1 = М1 g / S1, where g is the acceleration of gravity.
p2 = M2 g / S2
M1 g / S1 = M2 g / S2
Whence S2 = S1 M2 / M1
S2 = 3 m2 50 kg / 1500 kg = 0.1 m2
Answer: the area of the piston under the person is 0.1 sq. M.