Jonathan is riding a bicycle and encounters a hill ofheight 7.30 m. At the base of the

Chapter 8, Problem 51

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Jonathan is riding a bicycle and encounters a hill ofheight 7.30 m. At the base of the hill, he is travelingat 6.00 m/s. When he reaches the top of the hill, he istraveling at 1.00 m/s. Jonathan and his bicycle togetherhave a mass of 85.0 kg. 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 does Jonathan do on the bicycle pedals within the JonathanbicycleEarth system during this process?

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