Final answer:
Conversion factors represent the ratio needed to change one unit to another. To find CF, divide the new grid factor by the original grid factor, which represents the relationship between them.
Step-by-step explanation:
The question is concerning the concept of conversion factors in mathematics. Conversion factors are used to change one unit of measure to another without changing the value of the amount. To find the value of CF when the new grid factor is divided by the original grid factor, we need both of these factors. Essentially, CF represents the ratio or multiple that you would use to convert one unit to another.
For instance, if you have a conversion factor for meters to centimeters, which is 100 cm/1 m, and you want to switch back from centimeters to meters, you would use the reciprocal of the conversion factor, 1 m/100 cm. If a new conversion factor arises, perhaps after certain conditions in a problem change, you would take this new factor and divide it by the original factor to find the relationship between the old and new conditions.
Referring to examples given, such as using a factor of 20x for easier computation or observing that a force FL is half of FR due to distance from the center of gravity (cg), these are applications of finding conversion factors in context. The same principle would apply to finding what CF would be when dividing a new grid factor by an old grid factor. Without specific values, CF would represent this ratio.