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Energy is conserved in an isolated system, meaning since energy cannot be created or destroyed, the amount of energy in the system is the same.

The point is, what is the 'system' in a certain scenario. Even if the pendulum was in an isolated room, that doesn't mean the pendulum will swing forever, because energy is constsntly lost to the environment, due to the friction with the air. But while energy is lost from the pendulum, energy is gained by the surrounding air molecules (also isolated), and thus energy in the system is conserved.

Eventually the pendulum's kinetic energy will be zero, having lost too much to be able to make it move.

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Q: When a pendulum swings the size of the swing gradually reduces with time until the pendulum stops explain how this can be possible if energy is conserved?
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