During the climb, by how much does her potential energy increase? For a typical

Question

During the climb, by how much does her potential energy increase? For a typical efficiency of 25%, what metabolic energy does she require to complete the climb? When exercising, the body must perspire and use other mechanisms to cool itself to avoid potentially dangerous increases on body temperature. If we assume that Susan doesn't perspire or otherwise cool herself and that all of the "lost" energy goes into increasing her body temperature, by how much would her body temperature increase during this climb?

Explanation / Answer

Assuming 61m is vertical height, not just distance she moves, gain in potential energy is mass*g*height = 40260 J if we take g =10. If g = 9.8 answer is 39455 With efficiency 25%, metabolic energy =4 * increase in PE, i.e. 4*40260 = 100650 J 4.19 kJ increase temperature of 1 kg water by 1 degree. 100.65/4.19 = 24.02 Temperature increase = 24 degree.

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