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  • The potential energy of a long spring when stretched by 2 cm is U. If the spring stretched by 8 cm, potential energy stored in it will be :Option: 1

The potential energy of a long spring when stretched by 2 cm is U. If the spring stretched by 8 cm, potential energy stored in it will be :

Option: 1

2 U


Option: 2

4 U


Option: 3

8 U


Option: 4

16 \mathrm{U}


Answers (1)

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\begin{aligned} & U=\frac{1}{2} k x^2 \\ & U=\frac{1}{2} k(2)^2 \\ & U^{\prime}=\frac{1}{2} k(2 \times 4)^2 \\ & U^{\prime}=\frac{1}{2} k(2)^2 \times 16 \\ & U^{\prime}=16 U \end{aligned}

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Ajit Kumar Dubey

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