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2, Universal law of gravitation (gravitational fore), 2 es applicable only for point. objects, 2, ) Independent o medium, ) always attractive, 4) Consevvative force, ) Obey superposition principle ., 6) Central' foree." ., For gravitationall. force blw large mass (like the cark, and a point mass , we use shell theoYeni ·, shell theorem I, The force of attraction between a hollo w spherical, shell, uniform denscly and a point mass situated, Outside is just as if the entire. mass of the shell is, concentrated at the centre of the shell., shell heorem - 1, The force of attraction de to a, spherical shell of uniformm dunsilg, situated inside it is Zero., hollow, point mass, Acceleration due to_gravilý C9), Define accelevation due. to graity !, The acceleration produced. in a, body under the. force' of gravily is called, freely Jalling, accèleration due fo, gravily, y, near the surface f earth, g, Suy, 2, - 9.8 m/s-, Isun = 27g, Imeruury 0 4g-k, Imoon, 9., etc

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Mass of the earth, CGM, M: gR, R2, densily of the earth, mass of the easth= volume x cdensily, ie gR2, = 4 aRxg, A AR P, 39, A Ā GR, %3D, 3, 67, Variation, of g, with altitude or height, Acceleration due to gravily at he surface of, ↑, Sw, the earthe is, a heght, 1f Iea) is the acceleralion due to gravily at, from the earth's surface as, GM, R, Jen), (R+h)2, 2., R? [I+h], Icn) := 9 Cit, -2, R, by using binominal theorem, we, get, Binomial theorem, © i+x)= |-2x + 3x¯- 4)x+..., 2h, 2., → This egn:, value f g, shows that the, deureases with, small, increase "in height ch). is very. very, neglect, higher, powers of ), then we can, : the value % 2°is less at, mountains Than at plains ., plains. Weight of the body also deineases.