A 1.8kg physics cart is initially traveling 2.8m/s when it collides with an ideal spring (with a spring constant of 710N/m and natural length shown. The final time is defined as when the spring at maximum compression and the cart is about to rebound backwards. Neglect loss. List the energy types at the initial and final time and whether work and loss (due to non- conservative forces) occur as well as the corresponding amounts of energy. 0.335m www reference level initial: unit work? unit loss? unit final: unit wwww reference level How much did the spring's length change during the compression? unit What is the length of the spring at maximum compression? unit What is the spring force at this time? unit

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**Physics Cart and Spring Collision Problem**

A 1.8 kg physics cart is initially traveling at 2.8 m/s when it collides with an ideal spring (with a spring constant of 710 N/m and natural length shown). The final time is defined as when the spring is at maximum compression, and the cart is about to rebound backward. Neglect loss.

**Task:**
List the energy types at the initial and final times and whether work and loss (due to non-conservative forces) occur, as well as the corresponding amounts of energy.

### Inputs:
- Initial energy type and value: 
  - Initial: [Dropdown] = [Textbox] unit
- Work done: 
  - Work?: [Dropdown] = [Textbox] unit
- Energy loss: 
  - Loss?: [Dropdown] = [Textbox] unit
- Final energy type and value: 
  - Final: [Dropdown] = [Textbox] unit

### Questions:

1. **How much did the spring's length change during the compression?**
   - Answer: [Textbox] unit

2. **What is the length of the spring at maximum compression?**
   - Answer: [Textbox] unit

3. **What is the spring force at this time?**
   - Answer: [Textbox] unit

### Diagram Explanation:
- The diagram above illustrates two states of the system:
  1. The cart moving towards the spring.
  2. The cart compressing the spring to its maximum with the spring's compressed length visible.

- The natural length of the spring is marked as 0.335 meters.
- A reference level is indicated at the base level where the cart moves towards the spring.

**Note:** Ensure to choose the correct unit and energy type from the dropdown and fill in the observed values in the textboxes provided.
Transcribed Image Text:**Physics Cart and Spring Collision Problem** A 1.8 kg physics cart is initially traveling at 2.8 m/s when it collides with an ideal spring (with a spring constant of 710 N/m and natural length shown). The final time is defined as when the spring is at maximum compression, and the cart is about to rebound backward. Neglect loss. **Task:** List the energy types at the initial and final times and whether work and loss (due to non-conservative forces) occur, as well as the corresponding amounts of energy. ### Inputs: - Initial energy type and value: - Initial: [Dropdown] = [Textbox] unit - Work done: - Work?: [Dropdown] = [Textbox] unit - Energy loss: - Loss?: [Dropdown] = [Textbox] unit - Final energy type and value: - Final: [Dropdown] = [Textbox] unit ### Questions: 1. **How much did the spring's length change during the compression?** - Answer: [Textbox] unit 2. **What is the length of the spring at maximum compression?** - Answer: [Textbox] unit 3. **What is the spring force at this time?** - Answer: [Textbox] unit ### Diagram Explanation: - The diagram above illustrates two states of the system: 1. The cart moving towards the spring. 2. The cart compressing the spring to its maximum with the spring's compressed length visible. - The natural length of the spring is marked as 0.335 meters. - A reference level is indicated at the base level where the cart moves towards the spring. **Note:** Ensure to choose the correct unit and energy type from the dropdown and fill in the observed values in the textboxes provided.
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