It seems like the units for the constants are determined just by cancelling units in the equation that aren’t wanted in the answer. This seems unscientific to me though so it feels like there must be a more thorough way
In: 5
Generally, by finding the slope of line created when you measure the variables.
Finding G, the gravitational constant in F=G*(m*M)/r^2 involves measuring the gravitational Force created at different separations for a given mass.
You graph this, F on one axis, R on the other an you get a clear trend.
Find the “slope” of this value and that’s your proportionality.
What makes it special is that you keep getting the same number regardless of masses you use or separations. It’s found to be constant for all gravitational systems.
The units are defined by the way you calculated the slope. They tag along with the ‘rise’ and ‘run’ terms.
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