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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Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 47PQ

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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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