A large balloon of mass 228 kg is filled with helium gas until its volume is 318 m3. Assume the density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3. (a) Draw a force diagram for the balloon. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Calculate the buoyant force acting on the balloon. (Give your answer to at least three significant figures.) (c) Find the net force on the balloon. N Determine whether the balloon will rise or fall after it is released. The balloon will -Select-v

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**Educational Exercise: Analyzing Balloon Dynamics**

A large balloon of mass 228 kg is filled with helium gas until its volume is 318 m³. Assume the density of air is 1.29 kg/m³ and the density of helium is 0.179 kg/m³.

---

### Tasks:

#### (a) Draw a force diagram for the balloon.
- **Prompt**: Submit a file with a maximum size of 1 MB.

#### (b) Calculate the buoyant force acting on the balloon.
- **Input**: Provide your answer to at least three significant figures.
- **Answer Box**: _____ N

#### (c) Find the net force on the balloon.
- **Input**: Provide your answer in Newtons (N).
- **Answer Box**: _____ N

**Determine whether the balloon will rise or fall after it is released.**
- **Options**: 
  - The balloon will rise.
  - The balloon will fall.
  - The balloon will remain stationary.

#### (d) What maximum additional mass can the balloon support in equilibrium?
- **Answer Box**: _____ kg

#### (e) Predict the balloon's motion if the mass of the load is less than the value calculated in part (d).
- **Options**:
  - The balloon and its load will accelerate upward.
  - The balloon and its load will accelerate downward.
  - The balloon and its load will remain stationary.

#### (f) What limits the height to which the balloon can rise?
- **Response Box**: Provide an explanation or reasoning.

### Diagrams & Graphs
- No diagrams or graphs are included in the text.

--- 

This exercise involves applying principles of buoyancy and forces to determine the motion and capabilities of a helium-filled balloon.
Transcribed Image Text:**Educational Exercise: Analyzing Balloon Dynamics** A large balloon of mass 228 kg is filled with helium gas until its volume is 318 m³. Assume the density of air is 1.29 kg/m³ and the density of helium is 0.179 kg/m³. --- ### Tasks: #### (a) Draw a force diagram for the balloon. - **Prompt**: Submit a file with a maximum size of 1 MB. #### (b) Calculate the buoyant force acting on the balloon. - **Input**: Provide your answer to at least three significant figures. - **Answer Box**: _____ N #### (c) Find the net force on the balloon. - **Input**: Provide your answer in Newtons (N). - **Answer Box**: _____ N **Determine whether the balloon will rise or fall after it is released.** - **Options**: - The balloon will rise. - The balloon will fall. - The balloon will remain stationary. #### (d) What maximum additional mass can the balloon support in equilibrium? - **Answer Box**: _____ kg #### (e) Predict the balloon's motion if the mass of the load is less than the value calculated in part (d). - **Options**: - The balloon and its load will accelerate upward. - The balloon and its load will accelerate downward. - The balloon and its load will remain stationary. #### (f) What limits the height to which the balloon can rise? - **Response Box**: Provide an explanation or reasoning. ### Diagrams & Graphs - No diagrams or graphs are included in the text. --- This exercise involves applying principles of buoyancy and forces to determine the motion and capabilities of a helium-filled balloon.
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