In an experiment to determine the density of a liquid, a uniform metal cylinder of cross-sectional area 6.2 cm2 and length 4.5 cm was hang...

      

In an experiment to determine the density of a liquid, a uniform metal cylinder of cross-sectional area 6.2 cm2 and length 4.5 cm was hang from a spring balance and lowered gradually into the liquid. The upthrust was determined for various submerged lengths. The results obtained are shown on the graph in figure 1.
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Using the graph, determine:
(i) The value of the upthrust when the cylinder is fully submerged.
(ii) The density of the liquid.

  

Answers


John
(i) Up thrust (from graph) = 0.49 N

(ii) Up thrust = weight of liquid displaced = 0.49 N

Mass of liquid displaced, m = 0.049 kg = 49 g

Volume of liquid displaced, v = 6.2 x 4.5 = 27.9 cm 3

Density = $\frac{m}{v}$ = $\frac{49}{27.9}$ = 1.756g/ cm 3
johnmulu answered the question on June 5, 2017 at 05:25


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