Data Count Tension force T zero offset (N) Tension force T (N) Acceleration a zero offset (m/s²) Acceleration a (m/s²) 1

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Data Count Tension Force T Zero Offset N Tension Force T N Acceleration A Zero Offset M S Acceleration A M S 1 1 (22.56 KiB) Viewed 13 times

Data Count Tension Force T Zero Offset N Tension Force T N Acceleration A Zero Offset M S Acceleration A M S 1 2 (11.44 KiB) Viewed 13 times

Data Count Tension Force T Zero Offset N Tension Force T N Acceleration A Zero Offset M S Acceleration A M S 1 3 (27.49 KiB) Viewed 13 times

Data Count Tension Force T Zero Offset N Tension Force T N Acceleration A Zero Offset M S Acceleration A M S 1 4 (11.39 KiB) Viewed 13 times

Data Count Tension Force T Zero Offset N Tension Force T N Acceleration A Zero Offset M S Acceleration A M S 1 5 (6.49 KiB) Viewed 13 times

Data Count Tension force T zero offset (N) Tension force T (N) Acceleration a zero offset (m/s²) Acceleration a (m/s²) 1 -2.849 -1.606 0.15 0.89 2 -2.851 -1.613 0.15 0.89 Total Cart Mass (kg) 1.601 5 -2.852 -1.603 0.15 0.87 3 -2.839 -2.862 -1.596 -1.606 0.15 0.15 0.89 0.86 4 st 6 7 -2.853 -2.840 -1.598 -1.596 0.15 0.87 0.15 0.87 8 -2.843 -1.601 0.15 0.88 9 -2.851 -1.602 0.15 0.87 10 -2.854 -1.608 0.15 0.88
Please use the equations from the lab manual, and derive a formula for the hanging mass in terms of the tension force T, the acceleration a and necessary constants. 1601-0.98-9.8-159
= Max ⇒T = MaM, X. Fnet, x= Please note that although the accelerations of the hanging mass and the cart have different directions, since they are connected by a string, they have the same magnitude. Let's simplify the existing equations by denoting a = amy =aMx. Then Equations (4)&(5) can be regrouped as T-Wm= -ma T: = Μα
Please determine the 95% confidence range for the "true" value of the unknown mass, show your calculation procedures; then report the final result in the format "mean value ± 95% range".
The reference value of the hanging mass is 140 gram, Does the reference value fall within the 95% confidence range of the mean value? What is the percent error (refer to the Uncertailty.docx file for the formula of percent error)?