A) \[5.3\times {{10}^{-10}}m{{s}^{-2}}\]
B) \[2.65\times {{10}^{-10}}m{{s}^{-2}}\]
C) \[3.65\times {{10}^{-10}}m{{s}^{-2}}\]
D) None of these
Correct Answer: B
Solution :
The gravitational force acting on two particle is \[F=\frac{G\,{{m}_{1}}\,{{m}_{2}}}{{{r}^{2}}}\] \[=\frac{6.67\times {{10}^{-11}}\times (1)\times (2)}{{{(0.5)}^{2}}}\] \[=5.3\times {{10}^{-10}}N\] (in magnitude) The acceleration of 2 kg mass is \[{{a}_{2}}=\frac{F}{{{m}_{2}}}=\frac{5.3\times {{10}^{-10}}}{2}=2.65\times {{10}^{-10}}m{{s}^{-2}}\] This acceleration is towards 1 kg mass.
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