Q4.A mango of mass 0.3kg falls from a tree. Calculate the acceleration of mango towards the earth. Also Calculate the acceleration of Earth towards the mango.
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No matter what the mass, any object close to the surface of the Earth will accelerate towards Earth at a constant rate of 9.8 m/s^2. You can actually derive this from Newtons law of gravitation.
Gravitational force between two objects = GMm/(R^2)
Force on a mass m due to Earths gravity = m*g
Equating those two you see that m cancels off. Leaving you with the expression for acceleration due to gravity,
g = GM/R^2 ~ 9.8 m/s^2
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