A) 6 v
B) 9 v
C) 3 v
D) none of these
Correct Answer: A
Solution :
The gravitational force provides the necessary centripetal force, \[\therefore \] \[F=\frac{GMm}{{{r}^{2}}}=\frac{Mv_{o}^{2}}{r}\] \[\Rightarrow \] \[{{v}_{o}}=\sqrt{\frac{GM}{r}}\] Given,\[{{v}_{A}}=3v,\,\,{{r}_{A}}=R,\,\,{{r}_{B}}=4R\] \[\therefore \] \[\frac{3v}{{{v}_{B}}}=\sqrt{\frac{R}{4R}}=\frac{1}{2}\] \[\Rightarrow \] \[{{v}_{B}}=6\,\,v\]You need to login to perform this action.
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