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 pw = 1.000 × 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.

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 pw = 1.000 × 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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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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Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.

Question

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 pw
1.000 x 103 kg/m³, the density of
styrofoam is pfoam =
95.0 kg/m³, and the acceleration due to gravity is g = 9.81 m/s².

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