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In the famous Joule experiment, a mass attached to a pulley system falls a height h and powers a stirrer that mechanically agitates an insulated

In the famous Joule experiment, a mass attached to a pulley system falls a height h and powers a stirrer that mechanically agitates an insulated container of water. It is found that the temperature increase in the water T is proportional to h. Is there any heat in this process? Explain with an analysis of the first law.

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