Answered: A child playing in a swimming pool…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter9: Solids And Fluids

Section: Chapter Questions

Problem 90AP: Oil having a density of 930 kg/m3 floats on water. A rectangular block of wood 4.00 cm high and with...

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A child playing in a swimming pool realizes that it is easy to push a small inflated ball under the surface of the water whereas a large ball requires a lot of force. The child happens to have a styrofoam ball (the shape of the ball will not distort when it is forced under the surface), which he forces under the surface of the water. If the child needs to supply 5.00×102 N5.00×102 N to totally submerge the ball, calculate the diameter ?d of the ball. The density of water is ?w=1.000×103 kg/m3,ρw=1.000×103 kg/m3, the density of styrofoam is ?foam=95.0 kg/m3,ρfoam=95.0 kg/m3, and the acceleration due to gravity is ?=9.81 m/s2.

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