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Gravitation question

2000 · Q157
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Gravitation question

2000 · Q157

NEETPhysicsGravitationMCQ+4 / −1
A body of weight 72 N moves from the surface of earth at a height half of the radius of earth, then gravitational force exerted on it will be
  1. A
    36 N
  2. B
    32 N
  3. C
    144 N
  4. D
    50 N
View written solutionFree

Correct answer: B

Fsurface=GMmRe2{F_{surface}} = G{{Mm} \over {R_e^2}}Fsurface​=GRe2​Mm​

FRe/2=GMm(Re+Re/2)2=49×Fsurface{F_{{R_e}/2}} = G{{Mm} \over {{{\left( {{R_e} + {R_e}/2} \right)}^2}}} = {4 \over 9} \times {F_{surface}}FRe​/2​=G(Re​+Re​/2)2Mm​=94​×Fsurface​

=49×72=32 N = {4 \over 9} \times 72 = 32\,N=94​×72=32N

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