An ore sample weighs 19.5N in air. When the sample is suspended by a light cord

Question

An ore sample weighs 19.5N in air. When the sample is suspended by a light cord and totally immersed in water, the tension in the cord is 12.0N .

Part A

Find the total volume of the sample.

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Part B

Find the density of the sample.

An ore sample weighs 19.5N in air. When the sample is suspended by a light cord and totally immersed in water, the tension in the cord is 12.0N .

Part A

Find the total volume of the sample.

V =   m3  

SubmitMy AnswersGive Up

Part B

Find the density of the sample.

? =   kg/m3  

Explanation / Answer

I will assume 19.5 is in Newtons, if not convert it and do this agian. The buoyant force here is 19.5 N - 12 N = 7.5N

Now find the Volume of the obj knowing the density of water, gravity, and the buoyant force

7.5N = (1000kg/m^3)(9.8m/s^2)vobj

vobj = 7.65 x 10^4

Now find density of obj divide weight in air by volume times gravity

19.5N / [(7.65 x 10^4)(9.8m/s^2) = density

density is 2601 kg/ m^3

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