A cube with sides of length L is tethered to the bottom of a pool of fluid by a rope whose length is also L. The top of the cube is a distance 5L below the water's surface. The density of the cube is 1/3 the density of the fluid in the pool. Express your answers to the following questions in terms of the density of the fluid (f), the length of a side of the cube (L), and g. (a) What is the tension in the rope? (b) If the rope is cut, what will the acceleration of the cube be (both magnitude and direction)? (c) How long will it take after the rope is cut for the cube to reach the surface of the water? (d) Once it come to rest on the surface, what fraction of the cube's volume will still be underwater? A cube with sides of length L is tethered to the bottom of a pool of fluid by arope whose length is also L. The top of the cube is a distance 5L below thewater's surface. The density of the cube is 1/3 the density of the fluid in thepool. Express your answers to the following questions in terms of the densityof the fluid (f), the length of a side of the cube (L), and g.(a) What is the tension in the rope?(b) If the rope is cut, what will the acceleration of the cube be (both magnitudeand direction)?(c) How long will it take after the rope is cut for the cube to reach the surfaceof the water?(d) Once it come to rest on the surface, what fraction of the cube's volume willstill be underwater?

Name: A cube with sides of length L is tethered to the bottom of a pool of f
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Description: A cube with sides of length L is tethered to the bottom of a pool of fluid by a rope whose length is also L. The top of the cube is a distance 5L below the water's surface. The density of the cube is 1/3 the density of the fluid in the pool. Express

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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 cube with sides of length L is tethered to the bottom of a pool of fluid by a rope whose length is also L. The top of the cube is a distance 5L below the water's surface. The density of the cube is 1/3 the density of the fluid in the pool. Express your answers to the following questions in terms of the density of the fluid (f), the length of a side of the cube (L), and g. (a) What is the tension in the rope? (b) If the rope is cut, what will the acceleration of the cube be (both magnitude and direction)? (c) How long will it take after the rope is cut for the cube to reach the surface of the water? (d) Once it come to rest on the surface, what fraction of the cube's volume will still be underwater?

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