A hydraulic lift contains an incompressible fluid that must not be subjected to a pressure greater than 4.0×105 Pa. The large piston has an area of 0.40 m2.
a. (i) Determine the maximum load that can be placed on the large piston without exceeding the allowable pressure.
b. (ii) If the operator can push with a force of at most 500 N, calculate the minimum area that the small piston must have so that this maximum load can be lifted safely.