1. A 60 kg student runs up a 300m long, 8.5° ramp at a constant speed of 2.5 m/s on a 25°C day. The student has a surface area of 1.50 m2, 34°C skin temperature, a skin emissivity of 0.90 and muscles that are 25% efficient. The surface transfer coefficient is 8 watts per square metre-degree. If resistance forces on the student amount to 54 N, then find a) the force required to run up the ramp b) the rate at which the student does work c) the rate at which heat energy is generated by the student (joules per second) d) the rate of heat radiation by the skin e) the rate of convective cooling f) the rate of sweating (kg/s) required to maintain constant body temperature given the rate of exercise, radiative emission, and convective heat losses.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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1. A 60 kg student runs up a 300m long, 8.5° ramp at a constant speed of 2.5 m/s on a 25°C day. The student has a surface area of 1.50 m2, 34°C skin temperature, a skin emissivity of 0.90 and muscles that are 25% efficient. The surface transfer coefficient is 8 watts per square metre-degree. If resistance forces on the student amount to 54 N, then find

a) the force required to run up the ramp b) the rate at which the student does work c) the rate at which heat energy is generated by the student (joules per second)
d) the rate of heat radiation by the skin e) the rate of convective cooling
f) the rate of sweating (kg/s) required to maintain constant body temperature given the rate of exercise, radiative emission, and convective heat losses.

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