(A) The energy stored in a spring stretched by a force $F$ is given by $W = \frac{F^{2}}{2k}$,where $k$ is the spring constant.For the first spring wi

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(A) The energy stored in a spring stretched by a force $F$ is given by $W = \frac{F^{2}}{2k}$,where $k$ is the spring constant.For the first spring with constant $K$,the energy stored is $W_{1} = \frac{F^{2}}{2K}$.For the second spring with constant $2K$,the energy stored is $W_{2} = \frac{F^{2}}{2(2K)} = \frac{F^{2}}{4K}$.Comparing the two expressions,we see that $W_{1} = \frac{F^{2}}{2K}$ and $W_{2} = \frac{1}{2} \left( \frac{F^{2}}{2K} \right) = \frac{W_{1}}{2}$.Therefore,$W_{1} = 2W_{2}$.

Class 11 Physics Work, Energy, Power and Collision Work Done by Spring and Potential Energy of Spring

Medium

Two springs of spring constants $K$ and $2K$ are stretched by the same force. If $W_{1}$ and $W_{2}$ are the energies stored in them respectively,then:

MHT CET 2020 All MHT CET

A
$W_{1} = 2W_{2}$
B
$W_{1} = \frac{W_{2}}{4}$
C
$W_{2} = 2W_{1}$
D
$W_{1} = W_{2}$

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Work, Energy, Power and Collision

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Work Done by Spring and Potential Energy of Spring

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Two springs of spring constants $K$ and $2K$ are stretched by the same force. If $W_{1}$ and $W_{2}$ are the energies stored in them respectively,then:

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