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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 x 102 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 = m

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 x 102 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 = m

College Physics
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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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 x 102 N to totally 1.000 x 103 kg/m³, the density of styrofoam submerge the ball, calculate the diameter d of the ball. The density of water is Pw = is Pfoam 95.0 kg/m', and the acceleration due to gravity is g 9.81 m/s?. 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 5.00 x 102 N to totally 1.000 x 103 kg/m³, the density of styrofoam submerge the ball, calculate the diameter d of the ball. The density of water is Pw = is Pfoam 95.0 kg/m', and the acceleration due to gravity is g 9.81 m/s?. d =
A platinum sphere with radius 0.0175 m is totally immersed in mercury. Find the weight of the sphere, the buoyant force acting on the sphere, and the sphere's apparent weight. The densities of platinum and mercury are 2.14 x 104 kg/m³ and 1.36 × 104 kg/m³, respectively. weight: N buoyant force: N apparent weight: N
Transcribed Image Text:A platinum sphere with radius 0.0175 m is totally immersed in mercury. Find the weight of the sphere, the buoyant force acting on the sphere, and the sphere's apparent weight. The densities of platinum and mercury are 2.14 x 104 kg/m³ and 1.36 × 104 kg/m³, respectively. weight: N buoyant force: N apparent weight: N
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