Two Cyclists Who Weigh the Same and Have Identical Bicycles

question 40

Multiple Choice

Two cyclists who weigh the same and have identical bicycles ride up the same mountain,both starting at the same time.Joe rides straight up the mountain,and Bob rides up the longer road that has a lower grade.Joe gets to the top before Bob.Ignoring friction and wind resistance,which one of the following statements is true?

• A)The amount of internal energy converted to gravitational potential energy of the system Joe- Earth is equal to the amount of of internal energy converted to gravitational potential energy of the system Bob-Earth, but the average power of the process for Joe is greater than that for Bob.
• B)The amount of internal energy converted to gravitational potential energy of the system Joe- Earth is greater than the amount of internal energy converted to gravitational potential energy of the system Bob-Earth, and the average power of the process for Joe is greater than that for Bob.
• C)Bob and Joe converted the same amount of internal energy to gravitational potential energy, and the average power of the process for each cyclist was also the same.
• D)The average power of the process for Bob and Joe was the same, but Joe converted more of the internal energy into the gravitational potential energy in getting there.

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Definitions:

Distribution

Describes how the values of a dataset or population are spread or dispersed.

Standard Deviation

A measure of the dispersion or spread of a set of data points relative to its mean, indicating how much the values in the data set vary from the average.

Normally Distributed

Describes a data set whose distribution forms a symmetric, bell-shaped curve around the mean.

Top 10%

A term used to denote the upper 10 percentile of a data set or distribution, representing values higher than 90% of the others.