show mathematically that acceleration experienced by an object during free fall is independent of mass of object
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according to Newton's universal gravitational law, the force of gravitation exerted by the Earth is equal to G (universal gravitational constant) multiplied by Mass of the Earth(M) multiplied by Mass of the object(m) divided by the radius squared(r²) and by Newton's second law of motion force due to gravitation is equal to Mass of the object (m) multiplied by acceleration due to gravity (g).
F(gravitational)= G.M.m/r²=mg
cancelling out the Mass of the object (m)
we find that g=G.M/r²
therefore the acceleration experienced by an object during free fall is independent of its mass
F(gravitational)= G.M.m/r²=mg
cancelling out the Mass of the object (m)
we find that g=G.M/r²
therefore the acceleration experienced by an object during free fall is independent of its mass
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Answer:
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Explanation:
g=GM/r^2
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