Answer:
The force of gravitation exerted by the earth on a body of mass m is \[F=G\frac{Mm}{{{R}^{2}}}=mg\] Acceleration imparted to the body, \[g=\frac{GM}{{{R}^{2}}}\] Clearly, \[g\] does not depend on m. Hence the earth imparts same acceleration to all bodies.
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