Two Cyclists Who Weigh the Same and Have Identical Bicycles

question 46

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 work done by Joe is equal to the amount of work done by Bob,but the average power exerted by Joe is greater than that of Bob.
• B)The amount of work done by Joe is greater than the amount of work done by Bob,and the average power exerted by Joe is greater than that of Bob.
• C)Bob and Joe exerted the same amount of work,and the average power of each cyclist was also the same.
• D)The average power exerted by Bob and Joe was the same,but Joe exerted more work in getting there.

---

Definitions:

Tax

A mandatory financial charge or some other type of levy imposed upon a taxpayer by a governmental organization in order to fund government spending and various public expenditures.

Utility Function

A rephrased definition: A tool in economics to quantify an individual's satisfaction from consuming different bundles of goods and services.

Price

The sum of money needed to buy a product or service.

Utility Function

A mathematical representation expressing an individual's preference ordering over a set of goods and services, showing the level of satisfaction or utility derived from various bundles of goods.