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at: Physics] Bonus W81 Graphs and Formulae Problems 15: Suppose you carry out a lab where you are investigating the relationship between U, m, g, and It, where U is the dependent variable and the others are all independent variables. You collect the data and obtain the following graphs: [z z [a l. Based on these graphs. what is the mathematical relationship between U and li'.' 2. Based on these graphs, what is the mathematical relationship between in and li'.' 3. From these graphs, derive a mathematical formula for U in temts of the given variables. III- Slope 51 III 220 22 2|. 2 A table with the slope values tor each graph, along with the values you kept constant for each investigation in the lab is shown to the right: 4. Determine the lit-values for each investigation. 5. Based on these values, what is the most likely constant for the formula? Calculate the relative percent error of each k-value based on the actual value. Problems ltl: Suppose you carry out a lab where you are investigating the relationship between I: k, and m, where Jf'is the dependent variable and the others are all independent variables. You collect the data and obtain the following graphs: . L It Alter perllirming one lineariration on each graph. you get the following graphs: [1 I' : Itm It 6. Based on these graphs, what is the mathematical relationship between f and m? '1". Based on these graphs, what is the mathematical relationship between in and It