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Energy concepts

You and your bicycle have a combined mass of 95 kg. When you reach the base of an overpass, you are travelling along the road at 3.0 m/s. If the vertical height of the overpass is 5.20 m and your speed at the top is 1.5 m/s, how much work have you done in getting to the top? (Ignore friction and any inefficiency in the bike or your legs)

Solution Preview

Kinetic Energy at the base of the overpass = KE1 = ½mv^2 = ½*95*32 = 427.5 J
Kinetic Energy at the top of the overpass = KE2 = ...