When you put on the brakes on your bicycle, friction heats the steel rims of your wheels. Could this heating be a problem? Suppose a 65 kg cyclist with a 15 kg bike is descending Trail Ridge Road in Rocky Mountain National Park, going down a 7.0% grade and thus losing 7.0 m in height for every 100 m of travel along the road. If the cyclist keeps a constant speed of 6.0 m/s, and we assume that all of the “lost” energy ends up as thermal energy in the two steel rims, each of mass 0.80 kg, by how much does the temperature of each rim rise in 1.0 minute?