Assume a Spherical Cow of Uniform Density in a Frictionless Vacuum

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Im not a physicist, nor do I play one on TV.  And I did not sleep at Holiday Inn last night. But my kids took way more physics than needed for either of their degrees, and despite being 3 years apart in schooling took those classes together in college.

(Which was great. They cant stand for one to outdo the other so not only were they top of the class, but had improbably great grades. Because younger one might otherwise slacken but not when there was a chance of older one doing better.  And...