according to this data table answer the following

• For the first scenario show the following calculations:
  1. Force Table
     • Resultant Force Vector
       • Magnitude
       • Magnitude Uncertainty

1. Vector Diagram
   • Resultant Force Vector
     • Conversion of the Measured Length into a Vector Magnitude
     • Vector Magnitude Uncertainty
2. Percent Difference
   • Resultant Vector Magnitude
   • Resultant Vector Angle

DATA TABLES - FORCE TABLE MEASUREMENTS EQUILIBRANT STRING VECTOR ADDITION MASS ANGLE SCENARIO m + om (g) ( o ) First 190+.5 225 +.05 Second 90+.5 310+.05 Third 160+.5 145+.05 DATA TABLES - VECTOR DIAGRAM MEASUREMENTS RESULTANT VECTOR VECTOR ADDITION LENGTH ANGLE SCENARIO Ar + 8(Ar) ( cm ) ( " ) First 13.8 1.05 451.5 Second 8.41.05 130 +.5 Third 14.8+.05 325 +.5VECTORS EXPERIMENT y A + B =R B R FIGURE 3 - Vectors A and B are joined end-to-end such that the resultant vector R is given by the straight red line connecting together starting and ending points, as illustrated above. PROCEDURE 1. Level the force table along two perpendicular axes 2. For the first scenario, complete the following steps: . Move one pulley to an angle of 0. o Pull one string over this pulley. o Attach a 100 gram mass onto this string. . Move a second pulley to an angle of 90 o Pull a second string over this pulley. o Attach a 100 gram mass onto this string. With your hand, grab a third string. . Move this string around the force table, and pull on the string, until the clear disk is in equilibrium. o Record the angle of this string's location. Attach a third pulley at the angle to this string's location. Hang the third string over the pulley. . . Add sufficient mass onto the third string such that the clear disk is in equilibrium. o Record its actual mass. . Verify that all three strings are parallel to the surface of the force table. 3. For the second scenario, repeat the previous steps with these two new vectors: . Move one pulley to an angle of 40. . o Pull one string over this pulley. o Attach 50 grams of mass onto this string. . Move a second pulley to an angle of 160. .VECTORS EXPERIMENT o Pull one string over this pulley. o Attach 100 grams of mass onto this string 4. For the third scenario, repeat the previous steps with these two new vectors: . Move one pulley to an angle of 450 o Pull one string over this pulley. o Attach 50 grams mass onto this string. . Move a second pulley to an angle of 305 o Pull a second string over this pulley. o Attach 150 grams mass onto this string. 5. On a sheet of graph paper, using the scaling factor of 0.1 N/cm, draw the tip-to-tail vector addition of the following two vectors: . Vector A o Mass of 100 g o Angle of 0 . Vector B o Mass of 100 g o Angle of 90 6. Draw all three vectors with different colored pencils. 7. Label all three vectors and the two axes. 8. Measure the length of the resultant vector. 9. Measure the resultant vector's angle. 10. On a different sheet of graph paper, using the scaling factor of 0.1 N/cm, draw the parallelogram vector addition of the following two vectors: . Vector A o Mass of 50 g o Angle of 40 . Vector B o Mass of 100 g o Angle of 160 11. Draw all vectors with different colored pencils. 12. Label all three vectors and the two axes. 13. Measure the length of the resultant vector. 14. Measure the resultant vector's angle. 15. On a different sheet of graph paper, using the scaling factor of 0.1 N/cm, draw the tip-to-tail vector addition of the following three vectors: . Vector A o Mass of 50 gVECTORS EXPERIMENT o Angle of 450 . Vector B o Mass of 150 g o Angle of 3050 16. Draw all vectors with different colored pencils. 17. Label all three vectors and the two axes. 18. Measure the length of the resultant vector. 19. Measure the resultant vector's angle. DATA ANALYSIS . For the first scenario show the following calculations: 1) Force Table o Resultant Force Vector Magnitude Magnitude Uncertainty 2) Vector Diagram o Resultant Force Vector Conversion of the Measured Length into a Vector Magnitude Vector Magnitude Uncertainty 3) Percent Difference o Resultant Vector Magnitude o Resultant Vector AngleDATA TABLES - FORCE TABLE MEASUREMENTS EQUILIBRANT STRING VECTOR ADDITION MASS ANGLE SCENARIO m tom (9 ) ( " ) First 190+.5 225 +.05 Second 90+.5 310+.05 Third 160+.5 145+.05 DATA TABLES - VECTOR DIAGRAM MEASUREMENTS RESULTANT VECTOR VECTOR ADDITION LENGTH ANGLE SCENARIO Ar + 8(Ar) p top (cm) ( 0 ) First 13.8 +.05 45+.5 Second 8.41.05 130 +.5 Third 14.81.05 325 + .5VECTORS EXPERIMENT First Scenario Force Table Measurements Resultant Force Vector Magnitude Resultant Force Vector Magnitude Uncertainty 6R = 6R = 6R: First Scenario Vector Diagram Measurements Conversion of the Measured Length into Resultant Force Vector Magnitude VECTORS EXPERIMENT Resultant Force Vector Magnitude Uncertainty SR = SR = OR = First Scenario - Percent Difference Resultant Force Vector Magnitude PD = PD = PD = Resultant Force Vector Angles PD = PD = PD =TABLE OF RESULTS RESULTANT VECTOR MAGNITUDE R 1- 6R SCENARIO (N 3 FORCE TABLE VECTOR DIAGRAM RESULTANT VECTOR PERCENT DIFFERENCE PD SCENARIO ( %} MAGNITUDE VECTORS EXPERIMENT Answer the following questions below using complete sentences: 1. Overall, were the resultant vector magnitudes precise or imprecise? Justify your answer. 2. Overall, were the resultant vector angles precise or imprecise? Justify your answer. 3. Vector subtraction is a special case of vector addition, written as A - B = A + (-B). Consider the hand-drawn vector diagrams in this experiment. Would these resultant vectors be oriented at the same angle as the proposed resultant vectors for vector subtraction? No explanation is required. 4. Identify the independent variable(s) for this experiment. . Be specific and use proper vocabulary. 5. Fixed variables are variables which are known prior to making experimental measurements, or are measured during the experiment itself, but are held constant throughout the entire experiment. Identify the fixed variable(s) in this experiment. . Be specific and use proper vocabulary. 6. Identify the dependent variable(s) for this experiment. . Be specific and use proper vocabulary. NO CONCLUSION