Two dogs, Ajax and Bandit, are pulling a Radio Flyer wagon carrying their best cat friend, Casper. the overhead view of the dog force vectors is shown to scale in the grid at the right. (Assume 4 significant figures.) a. Find the single force that is equivalent to the two forces shown. b. If that old rusty wagon DOES NOT MOVE, find the force (including direction) that the ground exerts on the wagon to keep it in place, in spite of the dogs. The forces are measured in units of newtons (N). (You may use EITHER geometry OR vector addition with Cartesian or polar coordinates. Either way, a diagram to scale is required. Be sure to JUSTIFY why your answer to part b is the opposite of your answer to part a.)

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Two dogs, Ajax and Bandit, are pulling a Radio Flyer wagon carrying their best cat friend, Casper. the overhead view of the dog force vectors is shown to scale in the grid at the right. (Assume 4 significant figures.)

a. Find the single force that is equivalent to the two forces shown.

b. If that old rusty wagon DOES NOT MOVE, find the force (including direction) that the ground exerts on the wagon to keep it in place, in spite of the dogs.

The forces are measured in units of newtons (N).

(You may use EITHER geometry OR vector addition with Cartesian or polar
coordinates. Either way, a diagram to scale is required. Be sure to JUSTIFY why
your answer to part b is the opposite of your answer to part a.)

 
 
**Title: Understanding Force Vectors**

**Image Description:**

The image illustrates force vectors to scale on a grid, with each square representing 10 Newtons (N).

**Diagram Explanation:**

1. **Central Point (Casper):** This is the origin from which two force vectors extend.

2. **Force Vector to Ajax:**
   - **Direction:** Northeast
   - **Length:** Approximately 6 squares long
   - **Magnitude:** 60 N (since 1 square = 10 N)

3. **Force Vector to Bandit:**
   - **Direction:** Southeast
   - **Length:** Approximately 4 squares long
   - **Magnitude:** 40 N

4. **Coordinate Axes:**
   - **x-axis:** Horizontal
   - **y-axis:** Vertical

This diagram is useful for visualizing the magnitude and direction of forces acting on an object (Casper) and demonstrates how to translate vector quantities into a graphical format using a grid system.
Transcribed Image Text:**Title: Understanding Force Vectors** **Image Description:** The image illustrates force vectors to scale on a grid, with each square representing 10 Newtons (N). **Diagram Explanation:** 1. **Central Point (Casper):** This is the origin from which two force vectors extend. 2. **Force Vector to Ajax:** - **Direction:** Northeast - **Length:** Approximately 6 squares long - **Magnitude:** 60 N (since 1 square = 10 N) 3. **Force Vector to Bandit:** - **Direction:** Southeast - **Length:** Approximately 4 squares long - **Magnitude:** 40 N 4. **Coordinate Axes:** - **x-axis:** Horizontal - **y-axis:** Vertical This diagram is useful for visualizing the magnitude and direction of forces acting on an object (Casper) and demonstrates how to translate vector quantities into a graphical format using a grid system.
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