Learning Materials
Features
Discover
Chapter 15: Problem 9
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?
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
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.
At a hearing on a proposed wind farm, a wind-energy advocate says an installation of 900 turbines, with blade diameter \(110 \mathrm{~m}\), could displace a 1-GW nuclear power plant. You're asked if that's really possible. How do you answer, given an average wind speed of \(10 \mathrm{~m} / \mathrm{s}\) and a turbine power output that averages \(30 \%\) of the theoretical maximum?
A balloon's mass is \(1.6 \mathrm{~g}\) when it's empty. It's inflated with helium (density \(0.18 \mathrm{~kg} / \mathrm{m}^{3}\) ) to form a sphere \(28 \mathrm{~cm}\) in diameter. How many \(0.63-\mathrm{g}\) paper clips can you hang from the balloon before it loses buoyancy?
You have two spheres of the same volume, one made of steel and the other of wood. Which one do you expect to float in a pool of water? Why?
(a) How much helium (density \(0.18 \mathrm{~kg} / \mathrm{m}^{3}\) ) is needed to lift a balloon carrying two people, if the total mass of people, basket, and balloon (but not gas) is \(280 \mathrm{~kg}\) ? (b) Repeat for a hot-air balloon whose air density is \(10 \%\) less than that of the surrounding atmosphere.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine