A) \[\frac{2F}{\sqrt{mk}}\]
B) \[\frac{\pi \,F}{\sqrt{mk}}\]
C) \[\frac{F}{\pi \,\sqrt{mk}}\]
D) \[\frac{F}{\sqrt{mk}}\]
Correct Answer: D
Solution :
For maximum speed \[F\text{ }=\text{ }kx\] \[x\,\,=\,\,\frac{f}{k}\] \[Fx\,\,=\,\,\frac{1}{2}k{{x}^{2}}+\frac{1}{2}m{{V}^{2}}\] \[\frac{{{F}^{2}}}{k}\,\,=\,\,\frac{1}{2}\,\,\frac{k{{F}^{2}}}{{{k}^{2}}}\,\,+\,\,\frac{1}{2}\,m{{V}^{2}}\] \[\frac{{{F}^{2}}}{2k}\,\,=\,\,\frac{m{{V}^{2}}}{2}\] \[V\,\,=\,\,\frac{F}{\sqrt{mk}}\]You need to login to perform this action.
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