A large cubical block of wood is floating upright in a lake. The density of water is 1000 kg/m³. You can assume the block has constant density and is the shape of a perfect cube with side length 2 meters. There are only two forces acting on the block at any given time: the downward force due to gravity, and a buoyant force acting upward. Recall Archimedes' principle, which states "A fully or partially submerged object is acted on by a buoyant force, equal in magnitude to the weight of the water displaced by the object. If the block is slightly depressed and then released, it bobs up and down, reaching its highest point once every 2 seconds. Using this information, determine the density of the block, in kg/m³.

A large cubical block of wood is floating upright in a lake. The density of water is 1000 kg/m³. You can assume the block has constant density and is the shape of a perfect cube with side length 2 meters. There are only two forces acting on the block at any given time: the downward force due to gravity, and a buoyant force acting upward. Recall Archimedes' principle, which states "A fully or partially submerged object is acted on by a buoyant force, equal in magnitude to the weight of the water displaced by the object. If the block is slightly depressed and then released, it bobs up and down, reaching its highest point once every 2 seconds. Using this information, determine the density of the block, in 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 1OQ: A wooden block floats in water, and a steel object is attached to the bottom of the block by a...

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