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Mechanical Properties Of Fluids

Question
CBSEENPH11018189

Two limbs of hydraulic lift have area of cross-section 5 cm2 and 100 cm2. To lift the weight of 24 kg placed on 5 cm2 cross-section, what force must be applied on the piston of cross-section 100 cm2?

Solution
Given, two hydraulic lifts. 

Area of cross-section of first limb = 5 cm2 

Area of cross section of second limb = 100 cm

Weight of the load = 24 

Area of cross-section on which the load is kept = 5 cm2 

Now, using Pascal's law, we have 

     F1a1 = F2a2  F2 = a2a1F  

Here, a= 5 cm2 , F= 235 N
a2 = 100 cm2 

So, force F21005× 235 = 4700 N, is the force applied on a piston of cross-sectional area 100 cm2