If the total mechanical energy was not totally conserved, did the pendulum gain

Question

If the total mechanical energy was not totally conserved, did the pendulum gain or lose the energy during the analyzed swing? Explain your results.

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The graphs represent the videos. We had to put dots in place of where the basketball was on the freefall video and put dots in place of where the pendulum swings in the pendulum video. A program called logger pro created graphs for the dots that were placed upon the video. KE = Kinetic energy, PE = potential energy, ME = mechanical energy. The top graph on both videos is the ME/M and the box displays the slope as well as the y-intercept. The box below represents kinetic energy. The three lines on the graph each represent one of each of the energies.

200205 0.9551, -0.3382 06.703 Linear Ft for VideoAnalysis | MEM MEM-my-b m (Slope): 7.656 +/- 0.07493 b (Y-Intercept). 2.737 +/- 0.05802 Correlation: 0 9889 RMSE: 0.1505 ELEIET ER CITII 0.5 Y (m) DONA KE/M PE/MME/M Linear Fit for: VideoAnalysis | KEIM KEIM - mteb m (Slope): 2.877 +/-02107 b(Y-Intercept): -6.424 +/- 0.5758 Correlation 09457 RMSE 0.3037 2.0 2.5 Time (s)

Explanation / Answer

We can see from the third graph where a blue line represents the total mechanical energy of the pendulum. As we can see that there is a net increase in the energy at the end, hence the pendulum is gaining energy in one cycle.

In the video, this gain must be evident by increase in the height of the pendulum after the one cycle.

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