A) 80 N
B) 40 N
C) 8N
D) 20 N
Correct Answer: A
Solution :
From law of gravitation, the force of attraction on body due to earth is \[F=\frac{GMm}{{{R}^{2}}}=mg={{w}_{e}}\] Given, \[{{R}_{e}}=6400\,km,\,{{R}_{m}}=3200\,km\], \[{{M}_{e}}=10\,{{M}_{m}}\,{{w}_{e}}=200\,N\] \[\therefore \] \[\frac{{{w}_{m}}}{{{w}_{e}}}=\frac{{{M}_{m}}}{{{M}_{e}}}{{\left( \frac{{{R}_{e}}}{{{R}_{m}}} \right)}^{2}}\] \[\Rightarrow \] \[{{w}_{m}}=\frac{{{M}_{m}}}{{{M}_{e}}}{{\left( \frac{{{R}_{e}}}{{{R}_{m}}} \right)}^{2}}\times {{w}_{e}}\] \[{{w}_{m}}=\frac{1}{10}{{\left( \frac{6400}{3200} \right)}^{2}}\times 200\] \[{{w}_{m}}=80\,N\].
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