urse Home HW 5 Exercise 6.47 A force in the +x-direction with magnitude F(x)= 18.0 N - (0.530 N/m)x is applied to a 8.90 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 15.0 m ? Express your answer to three significant figures and include the appropriate units. V = 5 C Templates Symbols undo do reset keyboard shortcuts 'help ½ / C Value Submit Provide Feedback Request Answer Units

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
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**Physics Problem - Force and Motion on a Frictionless Surface**

**Problem Statement:**

A force in the \(+x\)-direction with magnitude:

\[ F(x) = 18.0 \, \text{N} - (0.530 \, \text{N/m}) x \]

is applied to an 8.90 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. \( F(x) \) is the only horizontal force on the box.

**Question:**

*Part A:*

- If the box is initially at rest at \( x = 0 \), what is its speed after it has traveled 15.0 m?

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

**Input Instructions:**

You can enter your answer using the provided input fields for "Value" and "Units." Click "Submit" once you have entered your answer to check if it is correct.

**Feedback Option:**

Click "Provide Feedback" if you wish to comment on the problem or if there are any issues.

**Note:**

This problem involves understanding the application of forces, motion along a horizontal plane, and the integration of force functions for calculating speed.
Transcribed Image Text:**Physics Problem - Force and Motion on a Frictionless Surface** **Problem Statement:** A force in the \(+x\)-direction with magnitude: \[ F(x) = 18.0 \, \text{N} - (0.530 \, \text{N/m}) x \] is applied to an 8.90 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. \( F(x) \) is the only horizontal force on the box. **Question:** *Part A:* - If the box is initially at rest at \( x = 0 \), what is its speed after it has traveled 15.0 m? - Express your answer to three significant figures and include the appropriate units. **Input Instructions:** You can enter your answer using the provided input fields for "Value" and "Units." Click "Submit" once you have entered your answer to check if it is correct. **Feedback Option:** Click "Provide Feedback" if you wish to comment on the problem or if there are any issues. **Note:** This problem involves understanding the application of forces, motion along a horizontal plane, and the integration of force functions for calculating speed.
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