our antique clock · Physics Brawl 2021 #2

Physics · mechanics

Problem

An antique pendulum clock has to be wound up every Sunday at the same time to show the correct time during the whole week. While winding up, one has to raise a weight m=5.6m = 5.6 kg by h=31h = 31 cm to enable the clockwork to drive the pendulum. The pendulum is of length l=64l = 64 cm and almost all its mass is located at the lower end. How much energy (on average) is dissipated during one swing?

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