Here are the correct answers based on the image provided:

1. Answer for Question 1:
   a) $F = 4 \, \text{kN}$
   b) $F_y = 4 \, \text{kN}$

2. Answer for Question 2:
   a) $F = 616 \, \text{lb}$
   b) $\theta = 47^\circ$

3. Answer for Question 3:
   a) $F = 5.01 \, \text{kN}$

4. Answer for Question 4:
   c) $\theta = 87.7^\circ$

5. Answer for Question 5:
   b) $P = 6.1 \, \text{kN}$

Let me know if you need any further details or explanations on these answers!

Here are five related questions you might want to consider:

1. How do you calculate the magnitude of a force given its components?
2. What is the process to determine the angle between two forces?
3. How can the projection of a force along a specific line be calculated?
4. What is the relationship between force components and their resultant force?
5. Why is it important to consider both vertical and horizontal force components in equilibrium problems?

Tip: When solving force-related problems, always draw a clear diagram showing the directions of all forces to better visualize their components.