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. The density of water is pw = 1.000 × 10³ kg/m³, the density of styrofoam is Proam = 95.0 kg/m³, and the acceleration due to gravity is g = 9.81 m/s². If the child needs to supply 527 N to totally submerge the ball, calculate the diameter d of the ball. d = B

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 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.
The density of water is pw = 1.000 × 10³ kg/m³, the density of styrofoam is Proam = 95.0 kg/m³, and the acceleration due to
gravity is g = 9.81 m/s².
If the child needs to supply 527 N to totally submerge the
ball, calculate the diameter d of the ball.
d =
B
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. The density of water is pw = 1.000 × 10³ kg/m³, the density of styrofoam is Proam = 95.0 kg/m³, and the acceleration due to gravity is g = 9.81 m/s². If the child needs to supply 527 N to totally submerge the ball, calculate the diameter d of the ball. d = B
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