This problem involves energy with respect to a system. We'll infer the relationship between the system and the target then solve.
Gravitational potential energy:
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.
(a) What is the total external work done on the system of Jonathan and the bicycle between the time he starts up the hill and the time he reaches the top?
(b) What is the change in potential energy stored in Jonathan’s body during this process?
(c) How much work does Jonathan do on the bicycle pedals within the Jonathan– bicycle–Earth system during this process?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Net Work & Kinetic Energy concept. You can view video lessons to learn Net Work & Kinetic Energy. Or if you need more Net Work & Kinetic Energy practice, you can also practice Net Work & Kinetic Energy practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Pandit's class at USF.
What textbook is this problem found in?
Our data indicates that this problem or a close variation was asked in Physics for Scientists and Engineers - Serway Calc 9th Edition. You can also practice Physics for Scientists and Engineers - Serway Calc 9th Edition practice problems.