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Question

Physics Question on Gravitation

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

A

36 N

B

32 N

C

144 N

D

50 N

Answer

32 N

Explanation

Solution

Fsurface=GMmRe2 F_{surface } = G \frac{Mm}{ {R_e}^2}
FRc/2=GMm(Re+Re/2)2=49×Fsurface=49×72=32NF_{R_c /2} = G \frac{ Mm}{ (R_e + R_e /2)^2} =\frac{4}{9} \times F_{surface } = \frac{4}{9}\times 72= 32\, N.