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 N to totally submerge the ball, calculate the diameter d of the ball. The density of water is pw = 1.000 × 10³ kg/m³, the density of 95.0 kg/m', and the acceleration due to gravity is g = 9.81 m/s². styrofoam is Pfoam =

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
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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 N to totally
submerge the ball, calculate the diameter d of the ball. The density of water is pw = 1.000 × 10³ kg/m³, the density of
95.0 kg/m', and the acceleration due to gravity is g = 9.81 m/s².
styrofoam is Pfoam =
Transcribed Image Text: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 N to totally submerge the ball, calculate the diameter d of the ball. The density of water is pw = 1.000 × 10³ kg/m³, the density of 95.0 kg/m', and the acceleration due to gravity is g = 9.81 m/s². styrofoam is Pfoam =
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