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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4586ed3-251d-413f-881b-72e0763cbb19%2Fcff8025c-d406-4da3-9482-a10269a97730%2Fr7t5bqd_processed.png&w=3840&q=75)
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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