A large helium filled balloon is used as the center piece for an advertising display. The balloon alone has a mass of 223 kg and it is filled with helium gas until its volume is 327 m. Assume the density of air is 1.20 kg/m3 and the density of helium is 0.179 kg/m³. (a) Calculate the buoyant force (in N) acting on the balloon. (Enter the magnitude. Round your answer to at least three significant figures.) Since the balloon is totally submerged in air, the buoyant force is equal to the weight of air displaced. Note that the volume of air displaced is equal to the of the balloon. N (b) Find the net force (in N) on the balloon and determine whether the balloon will rise or fall after it is released. magnitude direction rise (c) What additional mass (in kg) can the balloon support in equilibrium? (If the balloon will fall after it is released, enter 0.) 102 In the previous step, you determined the net upward force acting on the balloon. In order for the balloon and contents to be in equilibrium, the load must ba out this net force. Knowing the gravitational force due to the load, you can determine the mass of the load. kg

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### Balloon Physics Problem

A large helium-filled balloon is used as the centerpiece for an advertising display. The balloon alone has a mass of 223 kg and it is filled with helium gas until its volume is 327 m³. Assume the density of air is 1.20 kg/m³ and the density of helium is 0.179 kg/m³.

#### (a) Calculate the buoyant force (in N) acting on the balloon.
- Enter the magnitude. Round your answer to at least three significant figures.

```
Since the balloon is totally submerged in air, the buoyant force is equal to the weight of air displaced. Note that the volume of air displaced is equal to the volume of the balloon. N
```

#### (b) Find the net force (in N) on the balloon and determine whether the balloon will rise or fall after it is released.
- **Magnitude**: \( \boxed{\text{N}} \)
- **Direction**: 
  - [ ] rise
  - [ ] fall

#### (c) What additional mass (in kg) can the balloon support in equilibrium?
- If the balloon will fall after it is released, enter 0.

```
In the previous step, you determined the net upward force acting on the balloon. In order for the balloon and contents to be in equilibrium, the load must balance out this net force. Knowing the gravitational force due to the load, you can determine the mass of the load. kg
```

**Hint:** Use the given densities and volumes to determine the forces acting on the balloon.

### Need Help?
- **Read it** (Provide supportive educational resources if necessary)

**Submit Answer**

---

**Note:** The webpage also contains interactive elements such as dropdowns for directions and input boxes for numerical values. There is a "Submit Answer" button at the end.
Transcribed Image Text:### Balloon Physics Problem A large helium-filled balloon is used as the centerpiece for an advertising display. The balloon alone has a mass of 223 kg and it is filled with helium gas until its volume is 327 m³. Assume the density of air is 1.20 kg/m³ and the density of helium is 0.179 kg/m³. #### (a) Calculate the buoyant force (in N) acting on the balloon. - Enter the magnitude. Round your answer to at least three significant figures. ``` Since the balloon is totally submerged in air, the buoyant force is equal to the weight of air displaced. Note that the volume of air displaced is equal to the volume of the balloon. N ``` #### (b) Find the net force (in N) on the balloon and determine whether the balloon will rise or fall after it is released. - **Magnitude**: \( \boxed{\text{N}} \) - **Direction**: - [ ] rise - [ ] fall #### (c) What additional mass (in kg) can the balloon support in equilibrium? - If the balloon will fall after it is released, enter 0. ``` In the previous step, you determined the net upward force acting on the balloon. In order for the balloon and contents to be in equilibrium, the load must balance out this net force. Knowing the gravitational force due to the load, you can determine the mass of the load. kg ``` **Hint:** Use the given densities and volumes to determine the forces acting on the balloon. ### Need Help? - **Read it** (Provide supportive educational resources if necessary) **Submit Answer** --- **Note:** The webpage also contains interactive elements such as dropdowns for directions and input boxes for numerical values. There is a "Submit Answer" button at the end.
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