A57-kg mountain climber, starting from rest, climbs a vertical distance of 712 m. at the top, she is again at rest. in the process, her body generates 4.3 × 106 j of energy via metabolic processes. in fact, her body acts like a heat engine, the efficiency of which is given by equation 15.11 as e = |w|/|qh|, where |w| is the magnitude of the work she does and |qh| is the magnitude of the input heat. find her efficiency as a heat engine.

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg.how much energy e must be supplied to the device? express your answer in joules.