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

Chapter 8, Problem 52

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Jonathan is riding a bicycle and encounters a hillof height h. At the base of the hill, he is traveling ata speed vi. When he reaches the top of the hill, heis traveling at a speed vf . Jonathan and his bicycletogether have a mass m. Ignore friction in the bicyclemechanism and between the bicycle tires and the road.(a) What is the total external work done on the systemof Jonathan and the bicycle between the time he startsup the hill and the time he reaches the top? (b) Whatis the change in potential energy stored in Jonathansbody during this process? (c) How much work doesJonathan do on the bicycle pedals within the JonathanbicycleEarth system during this process?

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