Force measured from the force sensor: ( 3 6 (take this as your theoretical value) Force evaluated from the slope in a vs. 1/m plot: (take this as your experimental value) Percent error: 5.5.2 Changing force For changing force, mass is now the constant. Force is the independent variable. In the strictest sense, we should graph force as the independent variable, and acceleration as the dependent variable for a graph of a = F(1/m). However, we can use the same data to graph directly, F = ma. . Calculate the forces for your different angles. Assume that the maximum force, Fax , equals the force you measured on the force sensor. You can then calculate the other forces using the formula F = FmaxCOSO. As before, use the "enter data" feature of DataStudio and do a graph of F vs. a Do a linear fit and find the slope, which is the experimental value of the cart mass. Do a percent difference calculation using the mass as found from the electronic balance Force measured from the force sensor: Q - 36 Table 2 15) 0. 36 cos ( 15) Angle O (degrees) Force (Newtons) Acceleration (m/s2) 10 2.36 15 30 45 60 Mass measured from the electronic balance: (take this as your theoretical value) Mass evaluated from the F vs. a slope: (take this as your experimental value) Percent error: 61Record your mass and acceleration in table 1 in Section 5.5 he string, tare the sensor, start the fan and read and read the force). Use your force sensor to measure the actual force produced by the fan (Hook the sensor on (2) Constant Mass-Changing Force Leave the cart on high fan, 2 second pulse . Note the mass of the cart as determined in the first experiment . Do another run with the empty cart Now, change the angle of the fan in 150 increments from 0 up to 60 As in the previous experiment, do linear fits on each graph and record the acceleration data in table 2 in Section 5.5. 5.5 Analysis You will produce two final graphs and then calculate percent errors for your two data sets. 5.5.1 Changing mass AS we know, F =ma . However, we kept force constant and changed the mass. So, our independent variable is mass, and the dependent variable is acceleration. From this information, we can find the constant force which produced the graph. So, we must actually graph the following: a = F(1/m) with 1/m on the horizontal axis and acceleration a on the vertical axis. The slope of the line will be the force. . With either a calculator or spreadsheet, find all the values of 1/m After making sure you have all your data recorded in the table below, open a new DataStudio file using the "enter data" option Enter your 1/m data in the first column and your acceleration data in the second column. The program will start plotting your graph immediately Remove the connected lines and do a linear fit. The slope is your experimental value for your force. Format the graph so that all labels are appropriate and have units. . Using your experimental data from the linear fit, do a percent difference calculation with your measured value of force from the force sensor. Limnear wit 3079 am slope Table 1 Mass m (kilograms) 1/m (kg-]) 3 23 K Acceleration a (m/s2) D. 269 0- 095 2. 39 4 10 189 O. 46 D. 20960 0 0 7 5 60