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Mechanical Properties Of Fluids

Question
CBSEENPH11018187

A force of 2x102 N is applied on one of the piston of area of cross section 100cm2of hydraulic lift to support a car placed on the second piston of lift of area of cross section 1960cm2. Find the mass of the car.

Solution
Given,
Force, F = 2×102
Area of cross-section of the first piston = 100 cm2 
Area of cross-section of the second piston = 1960 cm

Weight of the car = ?

Let, M be the mass of car.

The pressure on the piston on which force is applied is, 

              P1=Fa=2×102100=2 N/cm   ...(1)

The pressure on the second piston on which car is placed is, 

           P2=MgA=M×9.81960=M200N/cm    ...(2)

Now, According to Pascal law we have

                       P=  P2    

 we get from equation (1) and (2),  

Mass of the car, M=400  kg