The mass of the car in the picture below is M. The car issupported by a piston o

Question

The mass of the car in the picture below is M. The car issupported by a piston of cross sectional area A2.A force F1 is applied on a piston of cross sectionalarea A1.

a)      Calculate in terms ofA1, A2, and M and the acceleration of gravityg, the minimum force F1 required to lift thecar.

b)      If W=104 N,A1=1 cm2 , A2=500 cm2,and g=10 m/s2 calculate the numerical value of theminimum force F1.

c)      If the fluid is incompressibleshow that the work done by the force F1 is equal to thework done by the Force F2.

Explanation / Answer

a) From the Pascal's law          F1/A1 = F2/A2 The minimum force F1 required to lift the car is                    F1 = (A1/A2)F2 Here F2 = Mg                F1 = (A1/A2)(Mg) b)   The value of minimum force F1 is                   F1 = (A1/A2)(Mg)    Here W=104 N, A1=1cm2 , A2=500 cm2, and g=10m/s2

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