Chapter 15: Problem 5
Why is it easier to float in the ocean than in fresh water?
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These are the key concepts you need to understand to accurately answer the question.
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Chapter 15: Problem 5
Why is it easier to float in the ocean than in fresh water?
These are the key concepts you need to understand to accurately answer the question.
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A balloon contains gas of density \(\rho_{\mathrm{g}}\) and is to lift a mass \(M,\) including the balloon but not the gas. Show that the minimum mass of gas required is \(m_{\mathrm{g}}=M \rho_{\mathrm{g}} /\left(\rho_{\mathrm{a}}-\rho_{\mathrm{g}}\right),\) where \(\rho_{\mathrm{a}}\) is the atmos- pheric density.
Archimedes purportedly used his principle to verify that the king's crown was pure gold by weighing the crown submerged in water. Suppose the crown's actual weight was \(25.0 \mathrm{N}\). What would be its apparent weight if it were made of (a) pure gold and (b) \(75 \%\) gold and \(25 \%\) silver, by volume? The densities of gold, silver, and water are \(19.3 \mathrm{g} / \mathrm{cm}^{3}, 10.5 \mathrm{g} / \mathrm{cm}^{3},\) and \(1.00 \mathrm{g} / \mathrm{cm}^{3},\) respectively.
A barge filled with steel beams overturns in a lake, spilling its cargo. Does the water level in the lake rise, fall, or remain the same?
Styrofoam's density is \(160 \mathrm{kg} / \mathrm{m}^{3} .\) What percent error is introduced by weighing a Styrofoam block in air (density \(1.2 \mathrm{kg} / \mathrm{m}^{3}\) ), which exerts an upward buoyancy force, rather than in vacuum?
Measurement of small pressure differences- -for example, between the interior of a chimney and the ambient atmosphere-is often given in inches of water, where 1 in. of water is the pressure that will support a 1 -in.-high water column. Express this in SI units.
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