Exercise 12.32 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 0.660 m³ and the tension in the cord is 2120 N Part A Calculate the buoyant force exerted by the water on the sphere. Express your answer with the appropriate units. CH F= Submit Part B m = Submit Part C Value What is the mass of the sphere? Express your answer with the appropriate units. Vsub- Voo ^ Request Answer Value Request Answer Ĉ Units ΑΠΑΣΦ A Units The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged? ? C www %

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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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12.32

**Exercise 12.32**

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 \( 0.0800 \, \text{m}^3 \) and the tension in the cord is \( 2120 \, \text{N} \).

---

**Part A**

Calculate the buoyant force exerted by the water on the sphere.

**Express your answer with the appropriate units.**

\[ F = \]

*Input field for value and units*

\[ \text{Submit} \, \text{Request Answer} \]

---

**Part B**

What is the mass of the sphere?

**Express your answer with the appropriate units.**

\[ m = \]

*Input field for value and units*

\[ \text{Submit} \, \text{Request Answer} \]

---

**Part 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?

*Input field for value in percentage*

\[ V_{\text{sub}} / V_{\text{obj}} = \, \% \]

\[ \text{Submit} \, \text{Request Answer} \]

---

In this exercise, students are asked to compute physical properties and changes related to a hollow plastic sphere submerged in freshwater:

1. **Buoyant Force (Part A)**: Calculate the upward force exerted by the fluid on the sphere.
2. **Mass of the Sphere (Part B)**: Determine the sphere's mass based on the given data.
3. **Volume Submerged (Part C)**: Compute the fraction of the sphere's volume that remains underwater when it rises to the surface.
Transcribed Image Text:**Exercise 12.32** 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 \( 0.0800 \, \text{m}^3 \) and the tension in the cord is \( 2120 \, \text{N} \). --- **Part A** Calculate the buoyant force exerted by the water on the sphere. **Express your answer with the appropriate units.** \[ F = \] *Input field for value and units* \[ \text{Submit} \, \text{Request Answer} \] --- **Part B** What is the mass of the sphere? **Express your answer with the appropriate units.** \[ m = \] *Input field for value and units* \[ \text{Submit} \, \text{Request Answer} \] --- **Part 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? *Input field for value in percentage* \[ V_{\text{sub}} / V_{\text{obj}} = \, \% \] \[ \text{Submit} \, \text{Request Answer} \] --- In this exercise, students are asked to compute physical properties and changes related to a hollow plastic sphere submerged in freshwater: 1. **Buoyant Force (Part A)**: Calculate the upward force exerted by the fluid on the sphere. 2. **Mass of the Sphere (Part B)**: Determine the sphere's mass based on the given data. 3. **Volume Submerged (Part C)**: Compute the fraction of the sphere's volume that remains underwater when it rises to the surface.
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