Question

1)how could you use Pascal's principle to lift a heavy mass with the least effort ?
2) how would you calculate the volume of liquid the cube displaces?
3) how does the density of the liquid effect the upward force(buoyant force) acting on the cube ?

Answer 1

(1)Solution:-

Pascal's principle can be stated as follows:-

[ If the pressure in a liquid is changed at a particular point, the change is transmitted to the entire liquid without being diminished in magnitude. ]

Pascal's law has various interesting applications. The following figure shows the principle of a hydraulic lift used to raise heavy loads such as a car.It consists of two vertical cylinders A and B of different cross-sectional areas and connected by a horizontal tube. Pistons are fitted in both the cylinder. The load is kept on a platform fixed with the piston of larger area. A liquid is filled in the equipment. A valve V is fitted in the horizontal tube which allows the liquid to go from A to B when pressed from the A-side. The piston A is pushed by a force . The pressure in the liquid increases everywhere by an amount . The valve V is open and the liquid flows into the cylinder B. It exerts an extra force on the larger piston in the upward direction which raises the load upward.

The advantage of this method is that if   is much larger than , even a small force is able to
generate a large force which can raise the load.

(2)& (3) Solution:-