You release the cart from rest and measure an average tensio

You release the cart from rest and measure an average tension T = 0.7046N and average acceleration a = 1.056m/s2. The standard deviation and number of measurements for each of these quantities is sigma_T = 0.01344, N_T = 54 and sigma_a = 0.3432, N_a = 52. What is the mass of the cart M and its uncertainty?

Solution

T/a = m
Therefore m = .7046/1.056 = 0.667 kg
sigma m=.667*(.01344/(sqrt(54)*.7046)+.3432/(sqrt(52)*1.056)) = 0.0317