Question

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 $\mathrm{m}^{3}$ and the tension in the cord is 900 $\mathrm{N}$ . (a) Calculate the buoyant force exerted by the cord on the sphere. (b) What is the mass of the sphere? (c) The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?

Name: 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 m^3 and the tension in the cord is 900 N . (a) Calculate the buoyant force exerted by the cord on the sphere. (b) What is the mass of the sphere? (c) The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?
Uploaded: 2022-05-31T18:37:04-08:00
Duration: 2 min 58 s
Channel: Stephen Zaffke

          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 $\mathrm{m}^{3}$ and the tension in the cord is 900 $\mathrm{N}$ . (a) Calculate the buoyant force exerted by the cord on the sphere. (b) What is the mass of the sphere? (c) The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?

Added by Jacqueline M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Stephen Zaffke

05/31/2022

Step 1

Given: Volume of sphere, V = 0.650 m^3 Density of water, ρ = 1000 kg/m^3 Acceleration due to gravity, g = 9.8 m/s^2 Buoyant force, F_b = ρ * V * g Plugging in the values, we get: F_b = 1000 kg/m^3 * 0.650 m^3 * 9.8 m/s^2 F_b = 6370 N Show more…

Show all steps

Thanks for your feedback!

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 $\mathrm{m}^{3}$ and the tension in the cord is 900 $\mathrm{N}$ . (a) Calculate the buoyant force exerted by the cord on the sphere. (b) What is the mass of the sphere? (c) The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?