Can you help me to make analysis the graphs, build the empirical model and make a conclusion for my lab please? Thank you!.

12:58 PM Wed Jul 27 000 \"I "P 45%E' Lab A4T Phys 122 7/19/2022 Empirical Modeling: The Exotic Particles Introduction: In this lab we perform an empirical modeling experiment to develop a mathematical model describing the complex interactions between fictitious never-seen-before particles. We named those particles by assigning them with particular colors ( yellow, green, orange). We concluded that according to their interactions we have three different types of particles. Methods: Set-up: We examine the behavior between 3 different types of particles, 2 at a time, categorized to be \"yellow , green\12:58 PM Wed Jul 27 00- \"II "3 45% El Experiment. Force vs. Distance Between All Combinations of Particles Our experiment is testing variation of force between every pair combination of particles as a function of distance. We set the location of one colored particle and attached a force meter to another particle, and recorded the force acting on the moving particle at different distances to the set particle. Dependent Variables Independent Variables Control Variables Force (N) Distance (m) Number of particles Random uncertainty: During the experiments we use a three trials approach for both experiments for the estimation of random uncertainty. After the data was collected, we received slightly different measurements for every trial in both experiments. The standard deviation of the measurement distribution was taken to estimate the random uncertainty. We used the formula for the standard deviation, which is: 21\". (x,x )2 ' F1 1 ave Random uncertainty= T The random uncertainty for our data is , which is a higher number than the instrumental uncertainty and we used the random uncertainty to build the graphs and analyze our data. Analysis. Qualitative Observations Green and yellow are neutral (Limes and lemons) Orange and yellow repel (Oranges and lemons) Orange and green attract (Oranges and limes) Two greens repel (Lime and lime) Two oranges attract (Orange and orange) Two yellows attract (Lemons and lemons) => Because there are 3 characteristic behaviors, we have three distinct types of particles. Here are the observations, summed up in a table. Attract Note: we defined repulsive force as negative and attractive force as positive Quantitative Data for Particle-Particle Interactions Green and Yellow (neutral) _ 12:59 PM Wed Jul 27 Green and Yellow (neutral) Orange and Yellow (repel) Yellow and Yellow (attract) Green and Orange (attract) IIII '3 45% E]. 12:59 PM Wed Jul 27 . . . .1 45% Trial 1 Trial 2 Trial 3 Distance (m) Force (N) 0.30 8.58 8.74 8.64 0.40 4.95 4.85 4.82 0.50 3.15 3.15 3.08 0.60 2.22 2. 18 2.20 0.70 1.65 1.63 1.62 Green and Green (repel) Trial 1 Trial 2 Trial 3 Distance (m) Force (N) 0.30 -17.71 -17.60 -18.61 0.40 -10.10 -10.20 -10.28 0.50 -6.37 -6.50 -6.58 0.60 -4.45 -4.54 -4.64 0.70 -3.28 -3.38 -3.38 Orange and Orange (attract) Trial 1 Trial 2 Trial 3 Distance (m) Force (N) 0.30 8.45 8.59 8.53 0.40 4.89 4.84 4.91 0.50 3.20 3. 11 3.19 0.60 2.21 2.24 2. 18 0.70 1.65 1.66 1.65 Graphs: Analysis: Conclusion.1:02 PM Wed Jul 27 . . . all 45% Done Lab_A4 (2 of 2) Q S+Y Trial 1 Trial 2 Trial 3 0.8 Distance (m) Force (N) Force average 0. 6 U.3 0.4 0.4 0.5 oo ooo ooooo 0. 2 0.6 0.7 0.2 0.4 06 0.8 O+ Y 0.00 Trial 1 Trial 2 Trial 3 -2.00 0.2 0.4 0 8 Distance (m) Force (N) Force average 0.3 3.86 8.6 8.44 -8.63 -4.00 0.4 5 4.85 4.8 .88 -6.00 0.5 3.06 3 .1 -3.09 -8.00 0.6 2.27 2.15 2.18 2.20 0.7 -10.00 1.63 1.62 1.63 -1.63 Y + Y 10.00 Trial 1 Trial 2 Trial 3 8.00 Distance (m) Force (N) Force average 8.47 8.5 8.57 6.00 0.3 8.74 0.4 4.88 4.76 4.84 4.83 4.00 0.5 3.14 3.12 3.08 3.11 2.00 0.6 2.24 2.19 2.18 2.20 0.00 0.71 1.63 1.65 1.63 1.64 0 0.2 0.4 0.6 0.8 10.00 Trial 1 Trial 2 Trial 3 8.00 Distance (m) Force (N) Force average 0.3 8.58 8.74 3.64 8.65 6.00 0.4 4.95 4.85 4.82 4.87 4.00 0.5 3.15 3.15 3.08 3.13 2.00 0.6 2.22 2.18 2.2 2.20 0.00 0.7 1.65 1.63 1.62 1.63 0.2 0.4 0.6 0.8 G+G 0.00 Trial 1 Trial 2 Trial 3 0/2 0.4 0.6 0 8 Distance (m) Force (N) Force average -5.00 0.3 17.71 17.6 18.61 -17.97 0.4 10.1 10.2 10.28 10.19 -10.00 0.5 6.37 6.5 6.58 -6.48 0.6 4.45 4.54 4.64 -4.54 -15.00 0.7 3.28 3.38 3.38 -3.35 -20.001:02 PM Wed Jul 27 . . . .1 45% Done Lab_A4 (2 of 2) Q O+0 10.00 Trial 1 Trial 2 Trial 3 8.00 Distance (m) Force (N) Force average 6.00 0.3 8.45 8.59 8.53 8.52 0.4 4.89 4.84 4.91 4.88 4.00 0.5 3.2 3.11 3.19 3.17 2.00 0.6 2.21 2.24 2.18 2.21 0.7 1.651 1.66 1 65 1.65 0.00 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.81:02 PM Wed Jul 27 . . . . 45% Done Lab_A4 (2 of 2) Q (+ ) 1/r 1/r^2 1/r^3 Force average 3.33 11.11 37.04 2.50 6.25 15.63 2.00 4.00 8.00 1.67 2.78 4.6 1.43 2.04 2.92 Force vs. 1/r^2 0.00 1/r 1/r^2 1/r^3 Force average 0.00 2.00.. 4.00 6.00 8.00 10.00 3.33 11.11 37.04 17.16 -5.00 2.50 6.25 15.63 -8.13 2.00 4.00 8.00 8 -10.00 4.67 1.67 2.78 4.63 3.02 -15.00 = -1.6701x +1.7234 1.43 2.04 2.92 -2.13 -20.00 1/M2 force = (k*q1*q2)/r^2 + b Force vs. 1/r^2 20.00 1/r 1/r^2 1/r^3 Force average 3.33 11.11 37.04 17.16 15.00 y= 1.6701x 1.7234 .......""' 2.50 6.25 5.6 8.13 10.00 2.00 4.00 8.00 4.67 1.67 2.78 4.63 3.02 5.00 1.43 2.04 2.92 2.13 0.00 0.00 2.00 4.00 6.00 8.00 10.00 12.00 1/r^2 Force vs. 1/r^2 1/r 1/r^2 1/r^3 Force average 20.00 3.33 11.11 7.04 17.16 15.00 y= 1.6701x - 1.7234...... 2.50 6.25 15.63 3.13 2.00 4.00 8.00 4.67 10.00 1.67 2.78 4.63 3.02 5.00 ...................' 1.43 2.04 2.92 2.13 0.00 0.00 2.00 4.00 6.00 8.00 10.00 12.00 1/M2 Force vs. 1/r^2 0.00 0.00 4.00 6.00 8.00 10.00 12,00 1/r 1/r^2 1/r^3 Force average 5.00 2:00 . @....... .......... 3.33 11.11 37.04 -17.16 2.50 6.25 15.63 -8.13 2.00 8-10.00 4.00 8.00 4.67 1.67 2.78 4.63 -3.02 -15.00 1.43 2.04 2.92 -2.13 y - -1.6701x +1.7234 -20.00 1/r21:02 PM Wed Jul 27 . . . 3 0 1 all 44% Done Lab_A4 (2 of 2) Q Forcs vs. 1/r^2 1/r 1/r^2 1/r^3 20.00 Force average 3.33 11.11 37.04 17.16 15.00 2.50 6.25 15.63 8.13 2.00 10.00 4.00 8.00 4.67 1.67 2.78 4.63 3.02 5.00 ... .....". y= 1.6701x - 1.7234 1.43 2.04 2.92 2.13 0.00 2.00 4.00 6.00 8.00 10.00 12.00 1/M2