Suppose a 175-kg motorcycle has two wheels, and is heading toward a hill at a speed of 30.0 m/s. Assume the wheels to be approximately an annular ring with an inner radius of R1 = 0.280 m and an outer radius of R2 = 0.500 m. The mass of each wheel is 10.3 kg.
(a) How high (i.e. to what altitude) can it coast up the hill, if you neglect air resistance?
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(b) How much energy is lost to air resistance (or other forms of friction) if the motorcycle only gains an altitude of 35.0 m before coming to rest?
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