(A) The work done $W$ in stretching a spring by an extension $x$ is given by the formula $W = \frac{1}{2} k x^2$. Since the extension $x$ is the same

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(A) The work done $W$ in stretching a spring by an extension $x$ is given by the formula $W = \frac{1}{2} k x^2$. Since the extension $x$ is the same for both springs,the work done is directly proportional to the spring constant $k$ $(W \propto k)$. Given that $k_{A} > k_{B}$,it follows that $W_{A} > W_{B}$. Therefore,more work is required to stretch spring $A$.

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

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Two springs have spring constants $k_{A}$ and $k_{B}$ such that $k_{A} > k_{B}$. If both springs are stretched by the same extension $x$,the work required will be:

MHT CET 2011 All MHT CET

A
more in spring $A$
B
more in spring $B$
C
equal in both
D
nothing can be said

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Class 11

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Work, Energy and Power

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Work Done by Spring and Potential Energy of Spring

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Two springs have spring constants $k_{A}$ and $k_{B}$ such that $k_{A} > k_{B}$. If both springs are stretched by the same extension $x$,the work required will be:

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