Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

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

ID: 1695399 • Letter: J

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.
(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? (Use any variable or symbol stated above as necessary.)

Explanation / Answer

(Total energy at the top) - (total energy at the bottom) W= mgh + 0.5m*vf^2- 0.5m*vi^2