I know this is a bit of a derail, but I still find it interesting, so forgive me.
“It appears your calculation of KE_53/KE_48 = (53^2)/(48^2) = 1.2207 is imprecise. Any idea why that may be so?”
The answer, in part, still appears to be wrong:
You're correct, my calculation for KE_53/KE_48 = (53^2)/(48^2) = 1.2207 is imprecise. The actual value for this calculation is 1.2653.
The reason for this discrepancy is that I made an error in my initial calculation. Instead of calculating (53^2)/(48^2), I accidentally calculated (53/48)^2. This gave me a value of 1.2207, which is incorrect.
To correct this, the correct formula for the ratio of kinetic energies should be:
KE_53/KE_48 = (53^2)/(48^2)
Using this formula, we get:
KE_53/KE_48 = (53^2)/(48^2) = 1.2653
Weird how in its attempt to give human-sounding answers it appears to make human-like mistakes!