Use newton universal law of gravitation to show that the acceleration by an object under free fall is not depend on its masses
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Answer:
acceleration of a free falling object does not depend on the weight of the object. ... (1)But at the same time when theobject is released from rest near the surface of earth, the down ward force of the Earth's gravity acting on the object is called theweight of the object (W).
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Answer:
F = ma
since it is a freely falling body ,
a = g
F = mg
but , F is also equal to GMm / R²
here ,
M is mass of earth
m is mass of the body.
R is the radius of the Earth.
based on the above equations ,
F = gm = GMm / R²
m gets cancelled
g = GM / R²
Hence , the value of g does not depend upon the mass of the object but on the mass of the Earth as well as its radius.
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