A) \[\frac{{{m}_{1}}{{m}_{2}}G}{{{({{r}_{1}}+{{r}_{2}})}^{2}}}\]
B) \[\frac{{{m}_{1}}G}{{{({{r}_{1}}+{{r}_{2}})}^{2}}}\]
C) \[\frac{{{m}_{2}}G}{{{({{r}_{1}}+{{r}_{2}})}^{2}}}\]
D) \[\frac{({{m}_{1}}+{{m}_{2}})}{{{({{r}_{1}}+{{r}_{2}})}^{2}}}\]
Correct Answer: A
Solution :
Gravitational force between two bodies of mass \[F=\frac{G{{m}_{1}}{{m}_{2}}}{{{d}^{2}}}\] where d is the distance between the two masses. Here, \[d={{r}_{1}}+{{r}_{2}}\] \[\therefore \] \[F=\frac{G{{m}_{1}}{{m}_{2}}}{{{({{r}_{1}}+{{r}_{2}})}^{2}}}\]You need to login to perform this action.
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