Block A in Fig. P12.74 hangs by a cord from spring balance

Chapter 12, Problem 12.74

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QUESTION:

Block A in Fig. P12.74 hangs by a cord from spring balance D and is submerged in a liquid C contained in beaker B. The mass of the beaker is 1.00 kg; the mass of the liquid is 1.80 kg. Balance D reads 3.50 kg, and balance E reads 7.50 kg. The volume of block A is (a) What is the density of the liquid? (b) What will each balance read if block A is pulled up out of the liquid?

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QUESTION:

Block A in Fig. P12.74 hangs by a cord from spring balance D and is submerged in a liquid C contained in beaker B. The mass of the beaker is 1.00 kg; the mass of the liquid is 1.80 kg. Balance D reads 3.50 kg, and balance E reads 7.50 kg. The volume of block A is (a) What is the density of the liquid? (b) What will each balance read if block A is pulled up out of the liquid?

ANSWER:

Step 1 of 3 

(a) The density of the liquid is given by,

................(1)

      Where  is the mass of the displaced fluid and   is the volume of the block.

      Mass of the displaced fluid is,

      Mass of the beaker,

      Mass of the liquid,

      So,

                           

 

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