q 6.47 ### Educational Exercise: Physics Problem#### Problem Statement:A force in the \(+\mathbf{x}\)-direction with magnitude \[ F(x) = 18.0\, \text{N} - (0.530\, \text{N/m})x \] is applied to a 7.10 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. \( F(x) \) is the only horizontal force on the box.#### Part A:If the box is initially at rest at \(x = 0\), what is its speed after it has traveled 14.0 meters?**Express your answer to three significant figures and include the appropriate units.**##### Input Box:\[v = \text{Value} \quad \text{Units}\]- **Submit Button**: This allows you to submit your answer.- **Previous Answers Link**: View previously submitted answers.- **Request Answer Link**: Request an answer. ##### Feedback Section:- **Incorrect Notification**: - Keeps track of the number of attempts remaining.---### Explanation:To solve this problem, you need to consider the following steps:1. **Identify the force function \( F(x) \).**2. **Apply Newton's Second Law \( F = ma \) to find acceleration as a function of x.**3. **Use kinematic equations (or work-energy principles) to solve for the speed after traveling 14.0 meters.**Please submit your solution in the provided input box and ensure answers are in the correct units. If any assistance is needed, refer to the provided feedback section for guidance.

Answered: Image /qna-images/answer/85be4356-6533-4327-8de4-eaadbc83fd43.jpg

A force in the +x-direction with magnitude F(x)= 18.0 N (0.530 N/m) is applied to a 7.10 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. F(x) is the only horizontal force on the box. Part A If the box is initially at rest at x = 0, what is its speed after it has traveled 14.0 m ? Express your answer to three significant figures and include the appropriate units. μÅ 3 ? Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 17 attempts remaining Provide Feedback

A force in the +x-direction with magnitude F(x)= 18.0 N (0.530 N/m) is applied to a 7.10 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. F(x) is the only horizontal force on the box. Part A If the box is initially at rest at x = 0, what is its speed after it has traveled 14.0 m ? Express your answer to three significant figures and include the appropriate units. μÅ 3 ? Value Units Submit Previous Answers Request Answer X Incorrect; Try Again; 17 attempts remaining Provide Feedback

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

q 6.47

### Educational Exercise: Physics Problem

#### Problem Statement:
A force in the \(+\mathbf{x}\)-direction with magnitude
\[ F(x) = 18.0\, \text{N} - (0.530\, \text{N/m})x \]
is applied to a 7.10 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. \( F(x) \) is the only horizontal force on the box.

#### Part A:
If the box is initially at rest at \(x = 0\), what is its speed after it has traveled 14.0 meters?

**Express your answer to three significant figures and include the appropriate units.**

##### Input Box:
\[
v = \text{Value} \quad \text{Units}
\]

- **Submit Button**: This allows you to submit your answer.
- **Previous Answers Link**: View previously submitted answers.
- **Request Answer Link**: Request an answer.

##### Feedback Section:
- **Incorrect Notification**:
- Keeps track of the number of attempts remaining.

---

### Explanation:
To solve this problem, you need to consider the following steps:

1. **Identify the force function \( F(x) \).**
2. **Apply Newton's Second Law \( F = ma \) to find acceleration as a function of x.**
3. **Use kinematic equations (or work-energy principles) to solve for the speed after traveling 14.0 meters.**

Please submit your solution in the provided input box and ensure answers are in the correct units. If any assistance is needed, refer to the provided feedback section for guidance.

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