Show mathematically that acceleration expiences by an object is independent of its mass
Answers
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
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Answer:
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
Explanation: