2. An elevator is moving downward and slowing down at 4 m/s/s. Inside the elevator, a yellow box (10.0 kg) is stacked on top of a gray box (20.0 kg). (a) Draw the FBD to indicate all the forces acting on the Yellow box. Clearly label agent and object of interest on your FBD (e.g. Fby object 1 on Object 2) (b) Draw the FBD to indicate all the forces acting on the Grey box. (c) If a scale is placed between the boxes, what will the scale read? (d) If a scale is underneath both boxes, what will the scale read?

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### Physics Problem on Forces in an Elevator

#### Problem Statement
An elevator is moving downward and slowing down at a rate of 4 m/s². Inside the elevator, a yellow box (10.0 kg) is stacked on top of a gray box (20.0 kg).

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#### Questions

**(a)** Draw the Free Body Diagram (FBD) to indicate all the forces acting on the Yellow box. Clearly label the agent and the object of interest on your FBD (e.g., \( F_{\text{by object 1 on Object 2}} \)).

**(b)** Draw the Free Body Diagram (FBD) to indicate all the forces acting on the Grey box.

**(c)** If a scale is placed between the boxes, what will the scale read?

**(d)** If a scale is underneath both boxes, what will the scale read?

---

#### Diagram Description

On the right side, there is an illustration of the inside of an elevator. The elevator is depicted with a chain-like structure indicating its motion. Inside the elevator, there is a gray box at the bottom and a yellow box stacked on top of the gray box. This visual confirms the setup described in the problem statement.

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#### Explanation

**For the Yellow Box:**

- **Weight (\( W \))**: Downward force due to gravity, calculated as \( W = m \cdot g \), where \( m = 10.0 \text{ kg} \) and \( g = 9.8 \text{ m/s}^2 \). 
- **Normal Force by Grey Box (\( N \))**: Upward force exerted by the grey box.

**For the Grey Box:**

- **Weight (\( W \))**: Downward force due to gravity, calculated as \( W = m \cdot g \), where \( m = 20.0 \text{ kg} \) and \( g \text{ m/s}^2 \).
- **Normal Force by the Elevator Floor (\( N_{\text{floor}} \))**: Upward force exerted by the elevator floor. Additionally, it will have the weight of the yellow box on top of it.
- **Contact Force by the Yellow Box (\( N_{\text{yellow}} \))**: Downward force exerted by the yellow box.

**Forces Analysis:**

- The elevator is deceler
Transcribed Image Text:### Physics Problem on Forces in an Elevator #### Problem Statement An elevator is moving downward and slowing down at a rate of 4 m/s². Inside the elevator, a yellow box (10.0 kg) is stacked on top of a gray box (20.0 kg). --- #### Questions **(a)** Draw the Free Body Diagram (FBD) to indicate all the forces acting on the Yellow box. Clearly label the agent and the object of interest on your FBD (e.g., \( F_{\text{by object 1 on Object 2}} \)). **(b)** Draw the Free Body Diagram (FBD) to indicate all the forces acting on the Grey box. **(c)** If a scale is placed between the boxes, what will the scale read? **(d)** If a scale is underneath both boxes, what will the scale read? --- #### Diagram Description On the right side, there is an illustration of the inside of an elevator. The elevator is depicted with a chain-like structure indicating its motion. Inside the elevator, there is a gray box at the bottom and a yellow box stacked on top of the gray box. This visual confirms the setup described in the problem statement. --- #### Explanation **For the Yellow Box:** - **Weight (\( W \))**: Downward force due to gravity, calculated as \( W = m \cdot g \), where \( m = 10.0 \text{ kg} \) and \( g = 9.8 \text{ m/s}^2 \). - **Normal Force by Grey Box (\( N \))**: Upward force exerted by the grey box. **For the Grey Box:** - **Weight (\( W \))**: Downward force due to gravity, calculated as \( W = m \cdot g \), where \( m = 20.0 \text{ kg} \) and \( g \text{ m/s}^2 \). - **Normal Force by the Elevator Floor (\( N_{\text{floor}} \))**: Upward force exerted by the elevator floor. Additionally, it will have the weight of the yellow box on top of it. - **Contact Force by the Yellow Box (\( N_{\text{yellow}} \))**: Downward force exerted by the yellow box. **Forces Analysis:** - The elevator is deceler
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