You are given a system of N particles on which external force F is acting. Show that the
centre of mass of the system behaves like a particle whose maşs is equal to the total mass of
the system and is acted upon by total external force F.
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Answer: If there is no force acting on the particle, then, since dp/dt = 0, p must be constant, or conserved. This observation is merely a restatement of Newton’s first law, the principle of inertia: if there is no force acting on a body, it moves at constant speed in a straight line.
Now suppose that an external agent applies a force Fa to the particle so that p changes according to Equation. dp/dt=Fa
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