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soln009 - Written Homework Problem 9...

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Unformatted text preview: Written Homework Problem 9 http:#www.colorado.edufphysicslphyszolOfphysZOlD_sp09fWri... Written Homework Problem 9. Due Thurs, Apr 16 at 5pm. Turn in this written homework in the appropriate slot in the Brown Homework Cabinet at the entrance of the HelpRoorn, Duane GZB90. In this and all subsequent written homework, you will be graded on the clarity and completeness of the derivation of your answer. No credit will be given for an answer without a derivation, even if the answer is correct. Here is the Problem: A solid metal sphere with density pmem is placed under a fluid and released from rest. The sphere sinks because pmetal > pwmr. Derive an expression for the magnitude of the initial downward acceleration of the sphere immediately after it is released. Notice that the volume of the sphere is not given, so your answer should not depend on the volume V. mme‘l'al CL = mane-Inlj " “mtg—3 a accelera-l-EM downwwi‘ Hint: Archimedes's Principle says that the size of the buoyant force on the sphere is equal to the weight of the displaced fluid. Be sure that your derivation includes a free-body diagram showing the forces on the sphere. As always, simplify your answers as much as possible. An algebraic formula, as opposed to a numerical answer, is one which contains symbols (such as in or g) instead of numbers with units (such as 9.8 I'D/52). Dimensionless numbers such as p or '/2 are perfectly OK in an algebraic formula, but numbers with dimensions are not allowed. Fweielflq: chidMfi ”—[flwiw/v/fl .q: {Fm‘la-‘l flwakryj l of l 44’2U'09 11:26 AM ...
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