Below is a set of data collected with an apparatus similar to (but distinct from) the one used in this week's video. In this prelab you have a chance to check your use of the various formulae used in this lab and to get some practice determining your experimental uncertainties. To assess the contribution of statistical uncertainty in the angle measurement on your final answer, we suggest that you calculate (1 cost?) for each trial. Then find the uncertainty based on those values. This method is much simpler than nding the error in the angle and propagating that error through the cosine function. However, don't forget to include the uncertainties on R and d when you estimate your uncertainties for h and S. Ballistic Pendulum Data R-{2B.31-0.3lcm m -65.9q M -239.9q d- [QTEtOchrn 'Iooo-Jmmnwwr- ,.. O Put-lab Task #1: (2 points) Using the data in the table above, determine the best experimental value for h and the expected uncertainty (5h) (both in cm) using the formula: 11 - R(1 c0560 Notice that the relative uncertainty shown in the Least? values is smaller than the relative uncertainty on Hitself, but larger than the relative uncertainty on 0059. Ask yourself if these observations make sense to you. Prelab Task #2.: (2 points) Using your result from task 1, determine the launch velocity (and its uncertainty) in m/ s using the formula below (don't forget to watch your units, and you may neglect any uncertainties on g, M and m): \"Mg m Prehb Task #3: (1 point) When the sample apparatus was shot, the actual range was found to be S = (223 1 2) cm. [5 the range you calculate using the above values for v and :1 together with formula (6) in the write-up consistent with this value? \f_ The uncertainty in v (in m/s) is: (in 3 decimals) _ The value of S (in cm) calculated using the above values v and cl together with formula (g) in the write-up; is: (in 1 decimal)