question_answer

An astronaut of mass m is working on a satellite orbiting the earth at a distance h. from the earth's surface. The radius of the earth is R, while its mass is M. The gravitational pull FG on the astronaut is:               [JEE ONLINE 10-04-2016]

A)  \[{{F}_{G}}\frac{G{{M}_{m}}}{{{\left( R+h \right)}^{2}}}\]

B)  zero since astronaut feels weightless

C)       \[\frac{G{{M}_{m}}}{{{\left( R+h \right)}^{2}}}<{{F}_{G}}<\frac{G{{M}_{m}}}{{{R}^{2}}}\]

D)  \[0<{{F}_{G}}<\frac{G{{M}_{m}}}{{{R}^{2}}}\]

Correct Answer: A

Solution :

[a]