Find the quality factor of a mathematical pendulum \( l=50 \mathrm{~cm} \) long if during the ti...

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Find the quality factor of a mathematical pendulum \( l=50 \mathrm{~cm} \) long if during the time interval \( \tau=5.2 \mathrm{~min} \) its total mechanical energy decreases \( \eta=4.0 \times 10^{4} \) times.
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