A net force along the x-axis that has x-component F; = -12.0 N +(0.300 N/m²)æ² is applied to a 5.00 kg object that is initially at the origin and moving in the -x-direction with a speed of 7.70 m/s. Part A What is the speed of the object when it reaches the point a = 7.70 m? Express your answer with the appropriate units. Value Units v = Submit Request Answer

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### Problem Statement

A net force along the \( x \)-axis, with the \( x \)-component given by:

\[ F_x = -12.0 \, \text{N} + (0.300 \, \text{N/m}^2)x^2 \]

is applied to a 5.00 kg object that is initially at the origin and moving in the \( -x \)-direction with a speed of 7.70 m/s.

### Question (Part A)

What is the speed of the object when it reaches the point \( x = 7.70 \, \text{m} \)?

**Express your answer with the appropriate units.**

### Input Fields

- Speed (\( v = \)): [Value] [Units]

### Buttons Available

- **Submit**
- **Request Answer**

### Additional Options

- **Provide Feedback**
- **Navigation**: [Next]

### Instructions

Use the work-energy principle to solve for the final speed of the object. Calculate the work done by the net force along the x-axis as the object moves from its initial position to the point \( x = 7.70 \, \text{m} \). Use the initial conditions and the properties of the force to determine the final speed.
Transcribed Image Text:### Problem Statement A net force along the \( x \)-axis, with the \( x \)-component given by: \[ F_x = -12.0 \, \text{N} + (0.300 \, \text{N/m}^2)x^2 \] is applied to a 5.00 kg object that is initially at the origin and moving in the \( -x \)-direction with a speed of 7.70 m/s. ### Question (Part A) What is the speed of the object when it reaches the point \( x = 7.70 \, \text{m} \)? **Express your answer with the appropriate units.** ### Input Fields - Speed (\( v = \)): [Value] [Units] ### Buttons Available - **Submit** - **Request Answer** ### Additional Options - **Provide Feedback** - **Navigation**: [Next] ### Instructions Use the work-energy principle to solve for the final speed of the object. Calculate the work done by the net force along the x-axis as the object moves from its initial position to the point \( x = 7.70 \, \text{m} \). Use the initial conditions and the properties of the force to determine the final speed.
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