A bicyclist of mass 75 kg ( including the bicycle) can coast down a4.0 degree hill at a steady speed of 10 km/h. Pumping hard,the cyclist can descend the hill at a speed of 30 km/h. Usingthe same power, at what speed can the cyclist climb the samehill? Assume the force of friction is directly proportionalto the speed v; that is, Ffr = bv, where b isa constant.
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