Figure 1: (Color online) Schematics for Step 3. 5. Using Eq. (1), calculate the Gravitational force between your previously chosen m1 = (100 + 5.0N) kg and each of the following values of m2: 150kg, 200 kg, 250 kg, 300 kg, 400 kg, 500 kg and 600 kg. Select the distance between the masses to be d = 10.0m, as shown at Fig. 1. Record your results in Table 1 m2, 102 kg 1.5 2.0 2.5 3.0 4.0 5.0 6.0 F12, N Table 1. Theoretical, or calculated results for the gravitational force between the masses m = (100 + 5.0N) kg and m2 for the various values of m2. 6. Enable the Force values Force Values by clicking on Scientific Notation @ Scientific Notation checkmark. Now, you will be able to see the values of the gravitation force between the two masses. Verify your results previously obtained in Step 5 and complete a a table similar to Table 1 with the experimentally obtained force values and record your results in the following table71.2, 102 kg 1.5 10. Fm N Table 2. Experimental (measured) results for the gravitational force between the masses m1 = (100 + 5.0M) kg and mg. Even though you are supposed to obtained the same values of the theoretical and experimental results1 there will be always some little discrepancy due to the calculation error. For the two cases of the smallest and the largest values of the second mass m2 = 1.5 - 102 kg and 6.0-102 kg, calculate the percent error between the theoretical and experimental results for the gravitational force as Flgz'p) _ FEEL) %error = 2"} - 100%. (2) Fl?\" + Fig\" Make a graph of the experimentally obtained force as a function of mass mg. What kind of line do you see here? . Now choose two new different values of ml : (150 -i- 5.0M) kg and mg : (120 + 7.0M) kg. Move the two masses as far away as possible from each other. After you have done this, your mass m1 should be located at .131 = 0 position on the ruler \":"\"":' ' 2 and mass mg the rightmost point with the coordinate 1:2 2 10m 3 9 "'l. Disable Force values FOI'CB values by moving the circular dot checkmark from Scientic Notation SCientiC NOtation to Hidden 0 Hidden position. You screen should now look in the following way Force on m2 by m1 4 Force on ml by m2 '1 4 m2 D molars 1 2 3 4 5 6 7 E 9 10 FOI'CQ Values 0 Decimal Notation 0 Scientific Notation (9 Hidden O Constant Size Figure 2: (Color online) Schematics for Step 10. 11. Calculate the gravitational force between your selected masses m, = (150 + 5.0N) kg and m2 = (120 + 7.0N) kg for the following locations of mass m2: 12 = 10.0m, 9.0m,8.0m, 7.0m, 6.0m, 5.0m, 4.0m, 3.0m, 2.0m and 1.5m. Make sure that you show the sample calculations for 2-3 different values of the distance 12 = 2 -1 in your report. Record your calculation results in the following Table: 12 = X2, m 10.0 9.0 8.0 7.0 6.0 5.0 4.0 3.0 2.0 1.5 F12, N Table 3. Calculated values of the gravitation force for the various positions 2 of the second mass m2. 12. Enable the Force values Force Values by clicking on Scientific Notation Scientific Notation checkmark. Now, you will be able to see the values of the gravitation force between the two masses. Verify your previously obtained results and complete a table similar to Table 3 with the experimentally obtained force values "12 = X2, m 10.0 9.0 8.0 7.0 6.0 5.0 4.0 3.0 2.0 1.5 F12, N Table 4. Experimental results for the gravitation force for the various positions x2 of the second mass m2. Even though you are supposed to obtained the same values of the theoretical and experimental results, there will be always some little discrepancy due to the calculation error. For the two cases of the smallest and the largest values of the distance r12 = 9.0m and 1.5m, calculate the percent error between the theoretical and experimental results for the gravitational force as F(exp) _ For) % error = 2 ,(th) . 100% . (3) FTP) + F12 13. Make a graph of the experimentally obtained force as a function of mass m2. What kind of a mathematical dependence do you see here