In each of the two free-body diagrams, the forces are acting on a 2.6 kg object. (Eigure 1) (Eigure 2) Part A Find the value of az, the a component of the acceleration in diagram (a). Express your answer to two significant figures and include the appropriate units. ? a, = Value Units Submit RequestAnswer • Part B Find the value of ay, the y component of the acceleration in diagram (a) Express your answer to two significant figures and include the appropriate units. HẢ ? dy = Value Units Submit Request Answer Part C Find the value of az, the r component of the acceleration in diagram (b). Express your answer to two significant figures and include the appropriate units. HA ? as = Value Units Submit Request Answer Figure « 1 of 2 > • Part D (а) Find the value of ay, the y component of the acceleration in diagram (b). 2.82 N Express your answer to two significant figures and include the appropriate units. 1N HẢ ? T 20° 3NV dy = Value Units

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Chapter1: Units, Trigonometry. And Vectors
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### Free-Body Diagrams and Acceleration Components

In each of the two free-body diagrams, the forces are acting on a 2.6 kg object.

#### Diagrams and Tasks

1. **Diagram Explanation**
   - **Diagram (a):** 
     - Shows a coordinate system with the origin at the point where forces are acting.
     - Forces include:
       - A force of 2.82 N in the positive y-direction.
       - A force of 1 N at an angle of 20° from the negative x-axis toward the positive y-axis.
       - A force of 3 N in the negative x-direction.
       - A force of 5 N in the positive x-direction.

2. **Calculation Tasks**
   - **Part A:** Find the value of \( a_x \), the x-component of the acceleration in diagram (a).
   - **Part B:** Find the value of \( a_y \), the y-component of the acceleration in diagram (a).
   - **Part C:** Find the value of \( a_x \), the x-component of the acceleration in diagram (b).
   - **Part D:** Find the value of \( a_y \), the y-component of the acceleration in diagram (b).

#### Input and Submission
- Each task requires entering the calculated value with appropriate units.
- Your answer should be expressed to two significant figures for accuracy.

This setup encourages a comprehensive understanding of analyzing forces and calculating the resulting acceleration components, fundamental skills in physics.
Transcribed Image Text:### Free-Body Diagrams and Acceleration Components In each of the two free-body diagrams, the forces are acting on a 2.6 kg object. #### Diagrams and Tasks 1. **Diagram Explanation** - **Diagram (a):** - Shows a coordinate system with the origin at the point where forces are acting. - Forces include: - A force of 2.82 N in the positive y-direction. - A force of 1 N at an angle of 20° from the negative x-axis toward the positive y-axis. - A force of 3 N in the negative x-direction. - A force of 5 N in the positive x-direction. 2. **Calculation Tasks** - **Part A:** Find the value of \( a_x \), the x-component of the acceleration in diagram (a). - **Part B:** Find the value of \( a_y \), the y-component of the acceleration in diagram (a). - **Part C:** Find the value of \( a_x \), the x-component of the acceleration in diagram (b). - **Part D:** Find the value of \( a_y \), the y-component of the acceleration in diagram (b). #### Input and Submission - Each task requires entering the calculated value with appropriate units. - Your answer should be expressed to two significant figures for accuracy. This setup encourages a comprehensive understanding of analyzing forces and calculating the resulting acceleration components, fundamental skills in physics.
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