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 554 N to totally submerge the ball, calculate the diameter d of the ball. The density of water is p1.000 x 10¹ kg/m', the density of styrofoam is Ploum 95.0 kg/m³, and the acceleration due to gravity is g = 9.81 m/s². W

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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 child playing in a swimming pool realizes that it is easy to push a small inflated ball under the surface of the water whereas at
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 554 N to totally submerge
the ball, calculate the diameter d of the ball. The density of water is p = 1.000 x 10³ kg/m³, the density of styrofoam is
Ploum= 95.0 kg/m³, and the acceleration due to gravity is g = 9.81 m/s².
d=
m
Transcribed Image Text:Macmillan Learning 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 at 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 554 N to totally submerge the ball, calculate the diameter d of the ball. The density of water is p = 1.000 x 10³ kg/m³, the density of styrofoam is Ploum= 95.0 kg/m³, and the acceleration due to gravity is g = 9.81 m/s². d= m
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