Physics 181 Lab Practical 100 points total The purpose of this assignment The labypractical tests your ability to retain the skills you acquired from the lab over the course of this semester. You will be asked to re-do subsections of two different labs from earlier this semester. This is an open-book assignment: feel free to look at course materials from earlier this year if you need to refresh your memory on how to do any part of this assignment. You may also email me if you have questions. Part A 50 points In parts 2 and 3 of Lab 9, you attached the iOLab device by its eye-hook to various springs, and used the iOLab software to graph the force over time. From this data you measured the period of oscillation, and you used the known mass of the iOLab to determine k, the spring constant of the spring. For the first half of the lab practical, you will use this same method to measure the spring constant once again. Please review the instructions for Lab 9 before moving on, to ensure you are familiar with the technique. Pick any two springs in your spring set in the lab kit. Use the technique referenced above to measure the spring constants of your springs. Then, connect the same two springs in parallel (as described in part 3. of Lab 9), and measure the spring constant of the combined spring.Upload a file entitled "LabPractical_PartA" to D2L with the following contents: . A description of the setup you used, and the measurements you took, just as you would if you were writing the procedure section of a lab report. 20 points . The equation you used to compute the spring constants from your period measurements. 15 points . The measured spring constants of the two springs, and the measured spring constant of the combined spring. 10 points . Briefly, explain whether or not you think your results agree well with theory. 5 points (assignment continued on next page) Part B 50 points In Lab 6, you collected data from the iOLab device as it rolled down the ramp (while attached to a pulley), which was set to a known angle. Using this data, you made a plot of v vs. x, where x was the position along the ramp, and v was the velocity squared.a pulley), which was set to a known angle. Using this data, you made a plot of v vs. x, where x was the position along the ramp, and v was the velocity squared. Using conservation of mechanical energy, U + K = const ., it is possible to calculate what the slope of this plot should be. Plugging in U = mgh and K = -mv, we can get, mgh +-mv = const. - - mg sin(0)x + -mv2 = const. - v2 = 2g sin(0)x + -const . m where I have substituted h = - sin(0)x. The second term in the final expression is just an intercept: since we only care about the slope of the graph, we can ignore it. (Please Note: the formula above does not account for the mass of the weight hanging over the pulley. This is because we will not be attaching the weight and pulley for the Lab Practical.) In Lab 6, we then used this as a way to measure g: we first we allowed the iOLab to roll down the ramp, then we exported the data that was collected, and made a graph of v (y-axis) vs. x (x- axis). The slope of this graph was measured, and the value was used to find g by setting it equal to the predicted slope, and solving for g. For the second part of the lab practical, you will do this once again, for 0 = 15, only this time you will not attach a hanging mass to a string running over a pulley. Instead, you will just allow the iOLab device to roll down the ramp freely (which simplifies the procedure). Once again, it is recommended you review the materials for Lab 6, to make sure you are familiar with the procedure, but remember: this time we will not be attaching the iOLab to a mass on a pulley. Upload a file entitled "LabPractical_PartB" to D2L with the following contents: . A description of the setup you used, and the measurements you took, just as you would if you were writing the procedure section of a lab report. 20 points . The graph you made of v vs. x from your exported iOLab data. 15 pointsIn Lab 6, we then used this as a way to measure g: we first we allowed the iOLab to roll down the ramp, then we exported the data that was collected, and made a graph of v (y-axis) vs. x (X- axis). The slope of this graph was measured, and the value was used to find g by setting it equal to the predicted slope, and solving for g. For the second part of the lab practical, you will do this once again, for 0 = 15, only this time you will not attach a hanging mass to a string running over a pulley. Instead, you will just allow the iOLab device to roll down the ramp freely (which simplifies the procedure). Once again, it is recommended you review the materials for Lab 6, to make sure you are familiar with the procedure, but remember: this time we will not be attaching the iOLab to a mass on a pulley. Upload a file entitled "LabPractical_PartB" to D2L with the following contents: . A description of the setup you used, and the measurements you took, just as you would if you were writing the procedure section of a lab report. 20 points . The graph you made of v vs. x from your exported iOLab data. 15 points . The measured value of g based on the slope of your graph. 10 points . Briefly, explain whether or not you think your results agree well with the established value. 5 points