A) \[m\,\,g\,\,h=\frac{1}{2}k{{x}^{2}}\]
B) \[m\,\,g(h+x)=\frac{1}{2}k{{x}^{2}}\]
C) \[m\,\,g(h+x)=-kx\]
D) \[m\,\,g\,\,h=-kx\]
Correct Answer: B
Solution :
Key Idea: Energy is conserved. From law of, conservation of energy potential energy at height \[h=\] energy stored in compressed spring. \[\therefore \] \[mgh+mgx=\frac{1}{2}k{{x}^{2}}\] \[\Rightarrow \] \[mg(h+x)=\frac{1}{2}k{{x}^{2}}\]You need to login to perform this action.
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