Jonathan is riding a bicycle and encounters a hill of height h. At the base of t

Question

Jonathan is riding a bicycle and encounters a hill of height h. At the base of the hill, he is traveling at a speed vi. When he reaches the top of the hill, he is traveling at a speed vf. Jonathan and his bicycle together have a mass m. Ignore friction in the bicycle mechanism and between the bicycle tires and the road.
*What is the change in potential energy stored in Jonathan's body during this process? (Use any variable or symbol stated above along with the following as necessary: g.)
*How much work does Jonathan do on the bicycle pedals within the Jonathan

Explanation / Answer

a) change in potential energy = mgh

b) work done = final energy - initial enregy = (mgh+0.5m(vf)^2) - 0.5m(vi)^2

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