Two identical portable hydraulic jacks, Jack P and Jack Q

PHYSICS · Subjective · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

Two identical portable hydraulic jacks, Jack P and Jack Q, have the same input piston area of

10\,\text{cm}^2

but different output piston areas:

100\,\text{cm}^2

for Jack P and

400\,\text{cm}^2

for Jack Q. Each jack is to lift a load of

2000\,\text{N}

. (a) Calculate the force that must be applied on the input piston of Jack P to raise the load. (b) Repeat the calculation for Jack Q. (c) Determine the mechanical advantage offered by each jack and identify which jack provides the larger mechanical advantage. (d) For each jack, find the pressure transmitted through the hydraulic fluid while lifting the load.

Related theory

Fluid Statics
Hydraulic Machines
Pascal's law
Fluids
Fluid pressure and Pascal's law
Mechanical Properties of Fluids

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