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STEP BY STEP PLEASE Block A in the figure (Figure 1) hangs by a cord from spring

ID: 1497715 • Letter: S

Question

STEP BY STEP PLEASE

Block A in the figure (Figure 1) 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 1.50 kg ; the mass of the liquid is 2.45 kg . Balance D reads 3.05 kg and balance E reads 7.50 kg. The volume of block A is 3.30×10?3 m3 .
Part A
What is the density of the liquid?

?liquid =
1000
  kg/m3  

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Part B
What will the balance D read if block A is pulled up out of the liquid?

mD =
  kg  

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Part C
What will the balance E read if block A is pulled up out of the liquid?

mE =
4.45
  kg  

Explanation / Answer

given

The mass of the beaker is 1.50 kg ;

the mass of the liquid is 2.45 kg .

Balance D reads 3.05 kg

and

balance E reads 7.50 kg.

The volume of block A is 3.30 X 103 m3

Part A :

the density of the liquid is d

3.80 X 10-3 X d + 1.5 + 2.45 = 7.5

3.80 X 10-3 X d = 7.5 - 2.45 - 1.5

3.80 X 10-3 X d = 3.55

d = 3.55 / 3.80 X 10-3

d = 934.210 kg/m3

Part B )

the balance D read if block A is pulled up out of the liquid is

mD = weight of the object / ( weight of the object - loss of the weight )

mD = 1.5 / ( 1.5 - 0.95 )

mD = 1.5 / 0.55

mD = 2.72 kg

Part C )

the balance E read if block A is pulled up out of the liquid is

= 1.50 + 2.45

= 3.95 Kg