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Given two masses falling towards each other under gravitational attraction, do they meet at their joint center of mass, assuming other gravitational forces are negligible?
Two masses falling towards each other under gravitational attraction will meet at their center of mass, assuming negligible external gravitational forces. An observer located at the center of mass will find it stationary during the in-fall, confirming that both masses will reach the collision point simultaneously. This principle applies to point masses, while non-point masses will meet where their surfaces touch. The discussion clarifies the dynamics of gravitational attraction and the behavior of mass in relation to its center of mass.
PREREQUISITESPhysics students, educators, and anyone interested in understanding gravitational dynamics and the behavior of masses in motion.