A) \[F\propto \sqrt{m}\]
B) \[F\propto \sqrt{k}\]
C) \[F\propto {{v}_{0}}\]
D) None of these
Correct Answer: D
Solution :
[d] Energy conservation between the positions A and B requires that |
\[\Lambda PE+KE=0\] |
or \[\frac{1}{2}k{{x}^{2}}-\frac{1}{2}mv_{0}^{2}=0\] |
\[\therefore \] \[x=\sqrt{\frac{m}{k}}{{v}_{0}}\] |
\[\therefore \,\,\,\,\,\,{{F}_{\max }}=kx=\sqrt{mk}{{v}_{0}}\] |
or \[{{F}_{\max }}\propto \sqrt{k}\propto \sqrt{m}\propto {{v}_{0}}\] |
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