Find the horizontal distance from the equilibrium position at which the dart hits the ground. The screenshot shows a physics problem-solving session related to the use of a dart gun and its mechanics.### Problem and Solutions:1. **Potential Energy and Compression**: - **Question**: The potential energy stored in the compressed spring of a dart gun, with a spring constant of 66.00 N/m, is 0.600 J. Find the compression of the spring. - **Answer**: 1.348 × 10^-1 m - **Feedback**: The answer is correct.2. **Vertical Motion**: - **Question**: A 0.030 kg dart is fired straight up. Find the vertical distance the dart travels from its position when the spring is compressed to its highest position. - **Answer**: 2.039 m - **Feedback**: The answer is correct.3. **Horizontal Motion**: - **Question**: The same dart is now fired horizontally from a height of 1.10 m. The dart remains in contact until the spring reaches its equilibrium position. Find the horizontal velocity of the dart at that time. - **Answer**: 6.325 m/s - **Feedback**: The answer is correct. 4. **Calculating Horizontal Distance**: - **Question**: Find the horizontal distance from the equilibrium position at which the dart hits the ground. - **Attempted Answer**: 4.0801 m - **Feedback**: Incorrect. Multiple attempts allowed.Throughout the problem-solving process, the user received confirmation of correct answers and feedback following attempts on incorrect responses. The discussion for this session is closed, indicating no further interaction on this particular topic.---This interactive session helps students apply principles of energy conservation and motion to practical problems, enhancing their understanding of physics concepts.

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Answered: Find the horizontal distance from the…

Science

Physics

Find the horizontal distance from the equilibrium position at which the dart hits the ground.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 38P

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Find the horizontal distance from the equilibrium position at which the dart hits the ground.

The screenshot shows a physics problem-solving session related to the use of a dart gun and its mechanics.

### Problem and Solutions:

1. **Potential Energy and Compression**:
- **Question**: The potential energy stored in the compressed spring of a dart gun, with a spring constant of 66.00 N/m, is 0.600 J. Find the compression of the spring.
- **Answer**: 1.348 × 10^-1 m
- **Feedback**: The answer is correct.

2. **Vertical Motion**:
- **Question**: A 0.030 kg dart is fired straight up. Find the vertical distance the dart travels from its position when the spring is compressed to its highest position.
- **Answer**: 2.039 m
- **Feedback**: The answer is correct.

3. **Horizontal Motion**:
- **Question**: The same dart is now fired horizontally from a height of 1.10 m. The dart remains in contact until the spring reaches its equilibrium position. Find the horizontal velocity of the dart at that time.
- **Answer**: 6.325 m/s
- **Feedback**: The answer is correct.

4. **Calculating Horizontal Distance**:
- **Question**: Find the horizontal distance from the equilibrium position at which the dart hits the ground.
- **Attempted Answer**: 4.0801 m
- **Feedback**: Incorrect. Multiple attempts allowed.

Throughout the problem-solving process, the user received confirmation of correct answers and feedback following attempts on incorrect responses. The discussion for this session is closed, indicating no further interaction on this particular topic.

---

This interactive session helps students apply principles of energy conservation and motion to practical problems, enhancing their understanding of physics concepts.

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