A) \[mgh=\frac{1}{2}k\,\,{{x}^{2}}\]
B) \[mg\,(h+x)=\frac{1}{2}k\,\,{{x}^{2}}\]
C) \[mgh=\frac{1}{2}\,k\,\,{{x}^{2}}\]
D) \[mg\,(h+x)=\frac{1}{2}\,k\,{{(x+h)}^{2}}\]
Correct Answer: A
Solution :
Key Idea: Potential energy of block at height h is converted into potential energy of spring. When block is at height h, it has potential energy \[mgh\], which is converted into potential energy of spring to conserve energy i.e., \[mgh=\frac{1}{2}k\,\,{{x}^{2}}\] where k is force constant of spring.
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