First slide
Motion of centre of mass
Question

A particle of mass 200 g is dropped from a height of 50 m and another particle of mass 100 g is simultaneously projected up from the ground along the same line, with a speed of 100 m/s. The acceleration of the center of mass after 1 second is

Easy
Solution

The net force acting on the system of particle is gravity. 
So the center of mass will have acceleration 10 m/s2
 

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