A metallic piece of 7 specific gravity floats within mercury possessing a 13.6 specific gravity. What fraction of its total volume remains submerged beneath the mercury?
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Answer: C. 0.515
Explanation
The submerged fraction of a floating object equals its specific gravity divided by fluid gravity. Dividing seven by thirteen point six calculates the precise decimal submerged volume. Archimedes principle dictates that floating objects displace their own total weight in fluid. Specific gravity is the ratio of a substance density to the density of water. Mercury has a high specific gravity of thirteen point six compared to most metals. Objects float higher in denser fluids, resulting in smaller submerged volume fractions.
Metallurgy and material science use specific gravity to identify alloy compositions and purity. Hydraulic instruments and densitometers measure fluid densities using floating calibration bodies. Naval architecture applies buoyancy principles to determine ship draft and cargo capacity. Option A provides a rounded approximation rather than the precise calculated decimal. Option B underestimates the submerged fraction based on incorrect specific gravity ratios. Option D repeats an approximation and is superseded by the precise calculated decimal.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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