You are conducting an experiment to measure the acceleration due to gravity,
gu, at an unknown location. In the measurement apparatus, a simple pendulum swings past a photogate located at the pendulum's lowest point, which records the time t
10 for the pendulum to undergo 10 full oscillations. The pendulum consists of a sphere of mass
m at the end of a string and has a length
. There are four versions of this apparatus, each with a different length. All four are at the same unknown location and the data shown below are sent to you during the experiment.