The forces in (Figure 1) act on a 3.0 kg object. Figure 20° 5.0 N y 3.0 N 2.82 N 1 of 1 1.0 N X Part A What is the value of a, the x-component of the object's acceleration? Express your answer with the appropriate units. ► View Available Hint(s) LO Ti Submit Part B a₂ = 1.34 m/s² You have already submitted this answer. Enter a new answer. No credit lost. Try again. μA Provide Feedback ? Previous Answers Request Answer

College Physics
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Author:Raymond A. Serway, Chris Vuille
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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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Part A is wrong.

### Educational Content on Forces and Acceleration

**Problem Statement:**

The forces in the figure act on a 3.0 kg object.

**Figure Analysis:**

The figure showcases a system of forces acting on an object. The forces are represented by arrows with the following magnitudes and directions:
- A 5.0 N force is directed upward and slightly to the left, making a 20° angle with the negative x-axis.
- A 3.0 N force is directed vertically downward along the negative y-axis.
- A 2.82 N force is directed vertically upward along the positive y-axis.
- A 1.0 N force is directed horizontally along the positive x-axis.

**Part A:**

What is the value of \( a_x \), the x-component of the object's acceleration? 

Express your answer with the appropriate units.

\[ a_x = -1.34 \, \text{m/s}^2 \]

**Instructions:**

- You are required to submit the x-component of the acceleration, \( a_x \), based on the forces acting along the x-direction. 
- Use the formula \( F = ma \) to calculate the individual components, where \( F \) is the net force and \( m = 3.0 \) kg is the mass of the object.

**Feedback:**

- If the answer is not correct, review the individual force components and their respective directions.

This setup forms an essential learning case for understanding vector summation and resolving forces into components to determine resulting accelerations.
Transcribed Image Text:### Educational Content on Forces and Acceleration **Problem Statement:** The forces in the figure act on a 3.0 kg object. **Figure Analysis:** The figure showcases a system of forces acting on an object. The forces are represented by arrows with the following magnitudes and directions: - A 5.0 N force is directed upward and slightly to the left, making a 20° angle with the negative x-axis. - A 3.0 N force is directed vertically downward along the negative y-axis. - A 2.82 N force is directed vertically upward along the positive y-axis. - A 1.0 N force is directed horizontally along the positive x-axis. **Part A:** What is the value of \( a_x \), the x-component of the object's acceleration? Express your answer with the appropriate units. \[ a_x = -1.34 \, \text{m/s}^2 \] **Instructions:** - You are required to submit the x-component of the acceleration, \( a_x \), based on the forces acting along the x-direction. - Use the formula \( F = ma \) to calculate the individual components, where \( F \) is the net force and \( m = 3.0 \) kg is the mass of the object. **Feedback:** - If the answer is not correct, review the individual force components and their respective directions. This setup forms an essential learning case for understanding vector summation and resolving forces into components to determine resulting accelerations.
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