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Why does the earth impart the same accel...

Why does the earth impart the same acceleration to all bodies ?

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The force of gravitation exerted by the earth on a body of mass m is
`F=G(Mm)/(R^2)=mg`
Acceleration imparted to the body, `g=(Gm)/(R^2)`
Clearly, g does not depend on m. Hence the earth imparts same acceleration to all bodies.
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CBSE COMPLEMENTARY MATERIAL-GRAVITATION-MULTIPLE CHOICE QUESTIONS
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  12. When a body is taken poles to equator on the earth, its weight

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  15. A particle falls towards the earth from inifinity. The velocity with w...

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  16. If g is the acceleration due to gravity on the earth's surface, the ga...

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  17. Energy required to move a body of mass m from an orbit of radius 2R to...

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  18. If mass of a body is M on the earth surface, then the mass of the same...

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  19. A body weight 250N on the surface. Assuming the earth to be a sphere o...

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