A) \[v\sqrt{\frac{m}{k}}\]
B) \[v\sqrt{\frac{m}{2k}}\]
C) \[v\sqrt{\frac{2m}{k}}\]
D) None of these
Correct Answer: A
Solution :
[a] \[\frac{1}{2}k{{x}^{2}}=2\left[ \frac{1}{2}m{{\left( \frac{v}{\sqrt{2}} \right)}^{2}} \right]\Rightarrow \frac{1}{2}k{{x}^{2}}=\frac{m{{v}^{2}}}{2}\] \[\Rightarrow x=v\sqrt{\frac{m}{k}}\][The velocities along y axis do not change]You need to login to perform this action.
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