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 608 N to totally submerge the ball, calculate the diameter d of the ball. The density of water is pw = 1.000 x 10° kg/m³, the density of styrofoam is Pfoam = 95.0 kg/m³, and the acceleration due to gravity is g = 9.81 m/s². d =

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Physics And Measurement
Section: Chapter Questions
Problem 1.67AP: A rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its...
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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 608 N to totally
submerge the ball, calculate the diameter d of the ball. The density of water is pw = 1.000 x 10° kg/m³, the density of
styrofoam is Pfoam = 95.0 kg/m³, and the acceleration due to gravity is g = 9.81 m/s².
d =
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 608 N to totally submerge the ball, calculate the diameter d of the ball. The density of water is pw = 1.000 x 10° kg/m³, the density of styrofoam is Pfoam = 95.0 kg/m³, and the acceleration due to gravity is g = 9.81 m/s². d =
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