A student is trying to measure the density of a cork. They suspend the cork from a string and attach a lead weight of known mass mPb with another string hanging below.  The whole apparatus is attached to a scale and submerged in water at two different levels. (see picture below). In case (a) just the lead weight is submerged in the water and the scale reads ma.  In case (b) the lead weight and cork are submerged in the water and the scale reads mb.  What is the density of the cork in terms of the two scale readings, the mass of the lead, and the known densities of water, ??ρw, and lead, ???ρPb?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A student is trying to measure the density of a cork. They suspend the cork from a string and attach a lead weight of known mass mPb with another string hanging below.  The whole apparatus is attached to a scale and submerged in water at two different levels. (see picture below). In case (a) just the lead weight is submerged in the water and the scale reads ma.  In case (b) the lead weight and cork are submerged in the water and the scale reads mb.  What is the density of the cork in terms of the two scale readings, the mass of the lead, and the known densities of water, ??ρw, and lead, ???ρPb?

scale
scale
(cork
(cork
lead
(lead
(a)
(b)
Transcribed Image Text:scale scale (cork (cork lead (lead (a) (b)
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