A) \[-0.25\,\,m\,\,{{s}^{-1}}\]
B) \[2.5\,\,m\,\,{{s}^{-1}}\]
C) \[25\,\,m\,\,{{s}^{-1}}\]
D) \[250\,\,m\,\,{{s}^{-1}}\]
Correct Answer: B
Solution :
Let the force acting on the two bodies be\['F'N\] \[{{m}_{1}}=3\,\,m\,\,kg,\,\,{{m}_{2}}=4\,\,m\,\,kg\] \[{{a}_{1}}=6\,\,m\,\,{{s}^{-2}}\], \[{{a}_{2}}=?\] \[{{F}_{1}}={{m}_{1}}\times {{a}_{1}}=3m\times 6=18\,\,m\] \[{{F}_{2}}={{m}_{2}}\times {{a}_{2}}=4m\times {{a}_{2}}=4\,\,m\,\,{{a}_{2}}\] \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{18\,\,m}{4\,\,m\,\,{{a}_{2}}},\,\,4{{a}_{2}}=18,\,\,{{a}_{2}}=4.5\,\,m\,\,{{s}^{-2}}\]
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