Yes, a high school physics student can tell you the accelerations will be huge unless the loop is too, and a smart one can explain you need a circularizing burn.
But, contrary to popular belief investors aren’t total idiots who neglect basic questions. Hard tech companies do face major challenges of course, but they aren’t the ones armchair engineers on HN can point out with 5 minutes thought.
So instead of indulging in the “hurrr it’ll never work” superiority stimulus, I’d Like to point out some rays of hope:
I don’t think “catapult” means “solid arm on an axle spinning at high speed.” I’m guessing it actually means a large-ish diameter magnetically levitated and accelerated loop. That makes much larger radii possible: at 1 mile you’re looking at ~300g acceleration, 150g at 2 mile. We have loops much bigger than this with much more complex magnetics and vacuum components in our particle accelerators, so this wouldn’t be terrifyingly novel tech.
Those accelerations are big but not horribly painful to make a smallsat stand up to. We have guided artillery shells that bear 15,000g launches.
I think it’s somewhat feasible. I also think big fully reusable chemical rockets will beat this thing on cost and ease of use, but i don’t think it’ll fail because of armchair physics.