Answer in paper

7. Optional extension exercise on error propagation. So we have a value forg and an estimate of error in the form of the standard devialion. If we want to calculate the force F on the picket fence using the equation F = mg, we can simply multiply what we got for average 9 times the mass m of the picket fence. However, F will also have error associated with it, due to the fact that g was used to calculate it thus the error propagates through from g to F. To find F and its associated error, first measure the mass of the picket fence using the scales provided. For the error of the mass measurement, we will use a common technique of taking half of the smallest interval on the scale, which is 0.05 grams for most of our scales. Example: if your picket fence weighs 84.55 grams, you report the value (m i am) as 84.55 i 0.05 grams. Next, calculate F by multiplying your average 9 times 84.55 g. Finally, calculate 0F using the error propagation formula below for which you will need your values 09 and am. Equation: Error Propagation Formula: F=m=I=g UF=F'%)2+(%)2 (3) Finally, report your calculated force as F -l_- 0