Question 2 (4 points) Instructions: Saved Leave m fixed at the zero mark the whole time. Move m2 to the 7.0 metre mark. Observe the size and direction of both force arrows shown in the simulation. Now, still leaving m at the zero mark, move m to the 4.0 meter mark. Again, observe the size and direction of the two force arrows. Questions to Answer: At the 4.0 meter mark, compare the force on m by m to the force on m by m1. ("Compare" means explain what is the same about the two forces, and also what is different about them). Which of Newton's Laws from the last unit can you use to explain your comparison? Explain what this law says and how it is linked to the comparison you made. Question 3 (1 point) Saved Instructions: Put m2 back at the 10.0 metre mark. m should remain at the zero mark the whole time. Collect 8 data points. Manipulate the distance between the masses by moving m2 closer to m in each trial. (Use 1 meter distance increments please). In each trial, record the gravitational force acting on m in scientific notation. What to Submit: Using Google Sheets, create a data table to organize your data. Your data table should show distances and forces. At the top of each column in your data table, remember to include a title in words and units. Question 4 (1 point) Instructions: Open this link in a new tab: https://www.desmos.com/calculator/ikxg2jsqqc Create a graph of gravitational force vs. distance. (Remember, it's y vs. x!) Do not touch the purple dots at all while completing this question. Question 5 (1 point) What to Answer: Which of the graphs below best shows the shape of your data points? Question 6 (1 point) Instructions The equation that describes this lab is: Fg Gm1m2 r2 Notice that in the equation, ris squared AND it is on the bottom of a fraction. We therefore say that the relationship between Fg and ris an inverse square relationship. What this means is that: When r gets two times bigger, Fg becomes four times smaller than before. (Due to the square relationship, two becomes four; two squared is four. Due to the inverse relationship, when one variable gets bigger, the other does the opposite and gets smaller). If r is made three times smaller, Fg gets nine times bigger than before. Question to Answer If r was made four times bigger, explain what you'd expect to happen to Fg. Question 7 (3 points) Instructions We are going to make a new data table, which we'll call the modified data table. In the modified data table, take the inverse square of all your distances, but do not change the gravitational force values. Example: Original Data Table distance between gravitational force, Fg masses, (m) (N) 2.5 x 107 4.0 Modified Data Table - Changes in Red Font Sample Calculation: (4.0 m)2 16 m 0.0625 1/m inverse square of the gravitational force, Fg distance between (N) 2.5 x 10-7 masses, (1/m) 0.0625 What to Submit Go back to Google Docs and look at your original data table. In the same spreadsheet, beside the original data table, create a modified data table. Remember titles and units! Question 8 (1 point) Instructions Now you need to graph the modified data. Look back at your answer to question 4. Copy the link that you submitted into a new tab. Change all your x-values so that you're now graphing the modified data (i.e. we now want the 1/r distances on the x-axis). Gravitational force should still be on the y-axis, so do not change any of your y-values. After inputting your new data, we need to tell Desmos to zoom in on the data properly. Do this by clicking on the magnifying glass: Now, follow the instructions below: Second, click inside this circle to get the slope. The slope won't be visible to you yet; we'll fix this in a later step . 5.54 10 What to Submit Paste the new link to your graph below. Fourth First, adjust the line of best Third, click this button and get the link to your by dragging the purple dots graph Question 9 (2 points) Instructions: Now we need to get Desmos to display the slope of the line. Second, Display Reverse Contrast Gid Arrows adjust these SASH values as shown. First, click on A the wrench symbol. Y-Aes Syst Radians Degrees What to Submit: Below, type in the slope of the graph given by Desmos, including units. (For the units, do not change N to kgm/s, but simplify as much as you can otherwise). Question 10 (4 points) Instructions We are going to use the y = sx + b method that we learned earlier this year. You may wish to look back at your circular motion quiz for a refresher on this method. With the exception of b, these should not be numbers, they should be letters or sentences. Hint: x should be whatever is on the x-axis of the modified data graph. Question to Answer Enter y,s, x, and b below. Enter y in the top box s in the 2nd box xin the 3rd box bin the last box Blank # 1 Blank # 2 Blank # 3 Blank # 4 Question 11 (1 point) Calculate the value of G, the gravitational constant, using the numerical slope from desmos along with the variable(s) you said were equal to sin the previous question. Explain how you calculated it.