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Multiple choice physics space missions launching of an artificial satellites around the earth launching of satellite india’s space programmes

The minimum distance of a satellite from the centre of the earth is 3R, where R is the radius of 2GM What is the earth. The mass of earth is M. The maximum speed of the satellite is $\sqrt { \frac { 2 G M } { 3 R } }$ radius of curvature at the point of minimum distance?

  1. 6 R

  2. 4 R

  3. 3 R

  4. $\frac { 9 R } { 2 }$

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\begin{array}{l} F=\dfrac { { G\left( M \right) m } }{ { { { \left( { 3R } \right)  }^{ 2 } } } }  \ \Rightarrow a=\dfrac { { GM } }{ { 9{ R^{ 2 } } } }  \ \therefore \dfrac { { { V^{ 2 } } } }{ { R' } } =a \ \Rightarrow \dfrac { { 2GM } }{ { 3R.R' } } =\dfrac { { GM } }{ { 9{ R^{ 2 } } } }  \ \Rightarrow R'=6R \ Hence, \ option\, \, A\, \, is\, \, correct\, \, answer. \end{array}$