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.

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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