A restoring force of unknown magnitude is exerted on a object that oscillates with a period of
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A restoring force of unknown magnitude is exerted on a object that oscillates with a period of \(0.50 \mathrm{~s}\). When the object is in an evacuated container, the motion is simple harmonic motion, with an amplitude of \(0.10 \mathrm{~m}\). When air is allowed into the container, the amplitude decreases by \(2.0 \%\) with each cycle of the oscillation.
(a) What is the amplitude after 25 cycles?
(b) What fraction of the initial energy is left \(6.3 \mathrm{~s}\) after air is admitted?
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