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JEE Main 201610 AprilOnline
Exam
JEE Main
Year
2016
Date
10 April
Mode
Online
Subject
Physics
Chapter
Gravitation

JEE Main 2016 · 10 April · Online · Physics · Gravitation

An astronaut of mass m is working on a satellite orbiting the earth...

An astronaut of mass mm is working on a satellite orbiting the earth at a distance hh from the earth's surface. The radius of the earth is RR, while its mass is MM. The gravitational pull FG{F}_{G} on the astronaut is

Options

  1. AZero since astronaut feels weightless
  2. BGMm(R+h)2<FG<GMmR2\dfrac{GMm}{{\left(R + h\right)}^{2}} < {F}_{G} < \dfrac{GMm}{{R}^{2}}
  3. C{F}_{G} = \dfrac{GMm}{{\left(R + h\right)}^{2}}
  4. D0<FG<GMmR20 < {F}_{G} < \dfrac{GMm}{{R}^{2}}

Correct answer

C. {F}_{G} = \dfrac{GMm}{{\left(R + h\right)}^{2}}

Step-by-step solution

As distance of the astronaut from the centre of the Earth is =R+h= R + h

Therefore, gravitational force =Gm1m2(R+h)2=GMm(R+h)2= \dfrac{G{m}_{1}{m}_{2}}{{\left(R + h\right)}^{2}} = \dfrac{GMm}{{\left(R + h\right)}^{2}}

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