During each cycle, a heat engine ejects (75 mathrm{~J}) of thermal energy for every (115 mathrm{~J}) of

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During each cycle, a heat engine ejects \(75 \mathrm{~J}\) of thermal energy for every \(115 \mathrm{~J}\) of input thermal energy. This engine is used to lift a \(375-\mathrm{kg}\) load a vertical distance of \(27.0 \mathrm{~m}\) at a steady rate of \(52.5 \mathrm{~mm} / \mathrm{s}\). How many cycles of the engine are needed to accomplish this task?

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