(Solution) - A hollow plastic sphere is held below the surface of -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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A hollow plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.650 m3 and the tension in the cord is 900 N.
(a) Calculate the buoyant force exerted by the water on the sphere.
(b) What is the mass of the sphere?
(c) The cord breaks and the sphere rise to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?