A mechanic operates a hydraulic jack with pistons of areas (small) and (large)

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A mechanic operates a hydraulic jack with pistons of areas

A_1 = 3.0\,\text{cm}^2

(small) and

A_2 = 75\,\text{cm}^2

(large). The small piston is pushed down by

12\,\text{cm}

. The jack is ideal (no losses). (i) Calculate the distance through which the large piston rises. (ii) If the weight supported by the large piston is

1.5\times10^{4}\,\text{N}

, determine the minimum force that must be applied on the small piston.