A) 10 cm
B) 30 cm
C) 40 cm
D) 60 cm
Correct Answer: A
Solution :
\[\Delta K\,\,=\,\,W\] \[\frac{1}{2}m{{v}^{2}}\,-\,\frac{1}{2}m\,\,{{\left( \frac{v}{2} \right)}^{2}}\,=\,\,f(x)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,....(1)\] \[\frac{1}{2}m{{\left( \frac{v}{2} \right)}^{2}}\,-0\,\,=\,\,fx'\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,....(1)\] ... (2) \[(2)/(1)\,\,\,\Rightarrow \,\,{x}'=\frac{x}{3}\,\,10\,cm\]
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