A prospector desires to know if a nugget is pure gold. The nugget has a mass of 380 grams on a balance. When immersed in water its mass appears as 350 grams. Is the nugget pure gold?
To identify: If the nugget is pure gold or not.
Answer to Problem 56A
The nugget is not pure gold.
Explanation of Solution
Given:
Mass of nugget on a balance,
Mass of nugget if immersed in water,
Formula Used:
The density is given as,
Where
Calculation:
According to Archimedes principle, the buoyancy force is equal to difference of mass of object in air and water that is,
Also this mass is equal to volume of displaced liquid.
So, volume of water displaced is 30 cm3.
Now, density of nugget
But,
It means nugget is not pure gold.
Conclusion:
Therefore, the nugget is not pure gold.
Chapter 19 Solutions
Conceptual Physics: The High School Physics Program
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