If a crater's diameter is proportional to Final velocity (linear), Kinetic energy (to the 1/3 power), Kinetic energy density (also to the 1/3 power), Moment and momentum density both linear. How can we we simplify this?

Question

darkbluechocobo · Answer

@tkhunny @triciaal @welshfella This is for a physics lab, and I am confused on how to simplify this is into terms of mass velocity... etc.  The following are my graphs which my conclusions are based on. If you could assist me I would be extremely thankful.