As shown in the figure below, a wooden cube measuring 20.0 cm on each side floats in water with 70.0% of its volume submerged. Suspended by a string below the wooden cube is a metal cube. The metal cube measures 10.0 cm on each side and has a specific gravity of 5.00. This means that the density of the cube is 5.00 times larger than that of water, which we take to be 1000 kg/m³. (a) Which cube has a larger buoyant force acting on it? the metal cube the wooden cube The buoyant forces are equal for both. (b) Taking the density of water to be 1000 kg/m³, what is the density of the wooden cube? kg/m³ (c) What is the tension in the string between the cubes? Assume the string itself has negligible mass and volume. Use g = 9.8 m/s². N (d) The pair of blocks is now placed in a different liquid. When the blocks are at equilibrium in this new liquid, the buoyant force acting on the wooden cube is exactly the same as the buoyant force acting on the metal cube. What is the density of this new liquid? kg/m³

As shown in the figure below, a wooden cube measuring 20.0 cm on each side floats in water with 70.0% of its volume submerged. Suspended by a string below the wooden cube is a metal cube. The metal cube measures 10.0 cm on each side and has a specific gravity of 5.00. This means that the density of the cube is 5.00 times larger than that of water, which we take to be 1000 kg/m³. (a) Which cube has a larger buoyant force acting on it? the metal cube the wooden cube The buoyant forces are equal for both. (b) Taking the density of water to be 1000 kg/m³, what is the density of the wooden cube? kg/m³ (c) What is the tension in the string between the cubes? Assume the string itself has negligible mass and volume. Use g = 9.8 m/s². N (d) The pair of blocks is now placed in a different liquid. When the blocks are at equilibrium in this new liquid, the buoyant force acting on the wooden cube is exactly the same as the buoyant force acting on the metal cube. What is the density of this new liquid? kg/m³

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 5OQ: A solid iron sphere and a solid lead sphere of the same size are each suspended by strings and are...

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