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First, look closely: The image is a worksheet titled "Balanced / Unbalanced Forces Practice." It contains 12 numbered problems, each showing two or more force vectors with their magnitudes (in Newtons) and directions indicated by arrows. The task is to find the net force for each problem. The worksheet has handwritten answers in blue ink next to each problem. I need to verify if these handwritten answers are correct by calculating the net force for each problem based on the given forces.
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Next, find information: I will analyze each of the 12 problems one by one. For each, I will calculate the net force by adding the forces as vectors (considering direction). I will compare my calculated result with the handwritten answer provided in the image. Since this is a physics calculation based on vector addition, no external research tool is needed; I can solve it directly.
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Then, review the findings: I have reviewed all 12 problems. My calculations confirm that the handwritten answers provided in the image are correct for every single problem. The net force is calculated by summing the forces in each direction (positive for one direction, negative for the opposite) and then stating the magnitude and direction of the resultant force.
Here is the solution for each problem:
1. 6 N to the right
2. 4 N to the left
3. 0 N (balanced)
4. 3 N to the right
5. 1 N down
6. 8 N up
7. 3 N to the left
8. 10 N to the right
9. 0 N (balanced)
10. 5 N up
11. 10 N to the right
12. 1 N to the left
Parent Tip: Review the logic above to help your child master the concept of net force arrows worksheet.
