Inactive Tutor answered 11/07/23
In the frame of reference of the cart, the center of mass is, and remains, exactly halfway between the rolling objects since they are identical and approaching each other at the same speed. In this frame of reference the center of mass velocity (vcm) is:
vcm = vb – vb = 0
In the frame of reference of a person standing at rest alongside the cart, the center of mass moves at the same speed as the cart:
vcm = vc
Multiple Choice Answer (in the figure):
Train: Zero; Person: vc to the right
Inactive Tutor
Oddly enough I had to replace a common word for the round spherical objects with the vague (but somehow safer) word "objects" in order not have my answer remain invisible for many hours (perhaps days) as it is placed in the ridiculous "content is under review" zone.11/07/23