A cube (1m x 1m x 1m; volume = 1 m3; density = ρ kg/m3) is floating as shown. The density of oil is 800 kg/m3 and the density of water is 1000 kg/m3. Assume that the magnitude of the acceleration due to gravity, g, is 9.8 m/s2 and that Patm = 1.013x105 N/m2. a) Using the figure on the left, calculate the density of the cube, ρ. b) Use the figure on the right. The top face of a cube (same dimensions – 1m x1m x 1m) is now 0.5 m below the oil-air interface. If the values of ho and hw are the same as in part a, what is the density of this cube. Show all steps in your calculations.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 43P: A commonly used turn of mass in the English system Is the pound-mass, abbreviated Ibm, where 1 Ibm =...
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A cube (1m x 1m x 1m; volume = 1 m3; density = ρ kg/m3) is floating as shown. The density of oil is 800 kg/m3 and the density of water is 1000 kg/m3. Assume that the magnitude of the acceleration due to gravity, g, is 9.8 m/s2 and that Patm = 1.013x105 N/m2.
a) Using the figure on the left, calculate the density of the cube, ρ.
b) Use the figure on the right. The top face of a cube (same dimensions – 1m x1m x 1m)
is now 0.5 m below the oil-air interface. If the values of ho and hw are the same as in
part a, what is the density of this cube. Show all steps in your calculations.

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