A) \[9.10\,m/{{s}^{2}}\]
B) \[9.80\,m/{{s}^{2}}\]
C) \[10.0\,m/{{s}^{2}}\]
D) \[9.88\,m/{{s}^{2}}\]
Correct Answer: A
Solution :
Acceleration of cosmonaut is \[a=\frac{{{v}^{2}}}{r}\] where \[r\] is the distance of cosmonaut from earths centre. Given,\[v=8\,\,km/s=8000\,\,m/s.\] \[r=(6400+630)km=(6400+630)\times 1000\,\,m\] \[\therefore \] \[a=\frac{{{(8000)}^{2}}}{(6400+630)\times 1000}\] \[=9.10\,\,m/{{s}^{2}}\]
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