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2. Your teacher gives you a spring-loaded projectile launcher that launches a small steel marble at a range of angles from 0 to 90

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2. Your teacher gives you a spring-loaded projectile launcher that launches a small steel marble at a range of angles from 0 to 90 above the horizontal. Your teacher instructs you to design and execute an experiment to determine the relationship between the amount the spring is compressed, Ax, and the speed with which the marble leaves the launcher, VL. For the following questions, assume that you have access to equipment that would usually be found in a school physics laboratory. a. Describe your experimental setup and procedure, including any additional pieces of equipment you would need and the measurements you would make to calculate VL. Include a labeled diagram of your setup. b. Describe how you would use your measurements to calculate v. c. Another student performs the experiment and obtains the values shown in the following table for the maximum compression of the spring and the launch speed of the marble. The student also measures the mass of the marble. The teacher asks the student to use the data to calculate the spring constant of the spring inside the launcher. Ax (m) VL (m/s) 0.010 0.020 0.030 0.040 0.050 0.81 1.52 2.39 3.20 3.85 i. How should the data be modified and which quantities should be plotted so a linear graph can be used to calculate the spring constant? Justify your choices. ii. Use the table to calculate the quantities you will plot and then use the following axes to plot the data. Draw a line of best fit to your plotted data. > 438 < / 738 > Stewart et al., College Physics for the AP Physics 1 Course, 2e, 2019 W. H. Freeman and Company iii. Assuming the marble has a mass of 0.0163 kg, use your graph to calculate the numerical value of the force constant for the spring in the launcher.

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