A particle of mass m is thrown horizontally from the top of a tower and another partide of mass 2m is thrown
vertically upward. The acceleration of centre of mass is
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The acceleration for both the cases will be the constant g or 9.8m/s^2 in downward direction. This is because after the object is thrown only gravitational force acts on the 2 objects and according to universal law of gravitation (between earth and object.
F=G m1 M/d^2
m1 a=G m1 M/d^2
a=G Mass of Earth/radius^2
since the mass of object cancels on both the sides therefore the acceleration on the 2 objects doesn't depend on mass.
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