To approach the problem, we need to analyze and understand the following aspects:

1. Given Information:

   • The table provides data for forces $F_1$ and $F_2$.
   • The resultant force $R$ is also given, along with the equilibrant.

2. Force Analysis:

   • The resultant force $R$ is the vector sum of $F_1$ and $F_2$.
   • The equilibrant force $F_3$ is equal in magnitude but opposite in direction to $R$. It balances the system.

3. Data Summary:

Force	Mass (kg)	Force (N)	Angle (degrees)	x-component (N)	y-component (N)
$F_1$	0.150	1.47	60°	0.735	1.273
$F_2$	0.150	1.47	300°	0.735	-1.273
$R = F_1 + F_2$	-	1.47	0°	1.47	0
$F_3$ (Equilibrant)	-	1.47	180°	-1.47	0

4. Calculated Value for $F_3$:

   • Magnitude: $F_{3,\text{calc}} = 1.47 \, \text{N}$
   • Direction: $\theta_{3,\text{calc}} = 180^\circ$

5. Experimental Value of $F_3$:

   • Magnitude: $F_{3,\text{exp}} =$ (This value needs to be provided from experimental data.)
   • Direction: $\theta_{3,\text{exp}} =$ (This value also needs to be experimentally determined.)

6. Percent Differences:

   • Magnitude Difference: $\text{Percent Difference} = \frac{|F_{3,\text{exp}} - F_{3,\text{calc}}|}{\frac{F_{3,\text{exp}} + F_{3,\text{calc}}}{2}} \times 100$

   • Angle Difference: $\text{Percent Difference} = \frac{|\theta_{3,\text{exp}} - \theta_{3,\text{calc}}|}{\frac{\theta_{3,\text{exp}} + \theta_{3,\text{calc}}}{2}} \times 100$

Completing the Table:

The missing experimental values and the percent differences can be filled in as follows:

1. Magnitude $F_{3,\text{exp}}$: (Use the experimental measurement.)
2. Angle $\theta_{3,\text{exp}}$: (Use the experimental measurement.)
3. Percent Difference for Magnitude: Calculate using the formula.
4. Percent Difference for Angle: Calculate using the formula.

Follow-up Questions:

1. What are the x- and y-components of the resultant force $R$?
2. How would changing the mass affect the forces $F_1$ and $F_2$?
3. Why is the direction of $F_3$ opposite to that of $R$?
4. How do experimental errors affect the calculation of $F_3$?
5. What role does the angle play in determining the components of a vector?

Tip: Always double-check your calculations, especially when dealing with percent differences, as small changes can lead to significant percentage differences.