The Answer is 10.6kg Please show all work thank you A container consists of two

Question

The Answer is 10.6kg Please show all work thank you

A container consists of two vertical cylindrical columns of different diameter connected by a narrow horizontal section as shown in the figure. The open faces of the two columns are closed by very light plates that can move up and down without friction The tube diameter at A is 35.0 cm and at B it is 10.2 cm This container is filled with oil of density 0.820 g/cm^3. If a 125-kg object is placed on the larger plate at A, how much mass should be placed on the smaller plate at B to balance it? Relevant equation: Diagram: Work:

Explanation / Answer

here the pressure P is distributed unifirmly in all directions

PA = PB

FA/AA = FB/BA

FA = mA*g = 125*9.81 = 1226.25 N

AA is the area of cross section at A = pi*(d1/2)^2 = 3.142*(0.35/2)^2 = 0.09622 m^2

FB = mB*g = 9.81*mB

BA is the area of cross section at B

BA = pi*(d2/2)^2 = 3.142*(0.102/2)^2 = 0.00817 m^2

then FB = FA*BA/AA = 1226.25*0.00817/0.09622 = 104.12 N

then FB = mB*g = 104.12

mB =104.12/g = 104.12/9.81 = 10.6 kg is the right answer

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