Dimensional Analysis in the Milky Way

Last updated over 4 years ago
5 questions
Within the Milky Way galaxy exists a small, terrestrial planet named Orf.  The planet Orf  hosts a variety of life forms, the most evolved of these are the Dropas, a species of exact and orderly creatures.  Dropas are simple creatures and require only one form of nutrition, momo, which is found abundantly beneath the top layer of soil on Orf.  

By planetary law, all Dropas are required to perform physical labor and extract a specific amount of momo during their lifetime to ensure continuation of their species. They are also paid a modest sum of currency for their efforts, because even Dropas want to have a little fun when they are not working.

The Dropas have designed their own system of measurements, with unique terms that relate to measurement units of time, mass, distance, and currency.  

Your assignment is to gain a better understanding of the life of a Dropa, using their measurement terms in the framework of dimensional analysis. The relationships between the units of measurement are listed below. Use the relationship cards to set up dimensional analysis equations and then calculate the answers to the following questions concerning the daily activities of Dropas.