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(B) In both cases,the tension in the spring is $F$. For a spring with spring constant $K$,the extension $x$ is given by Hooke's Law: $F = Kx$. In the

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In both cases $x = \frac{F}{K}$

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(B) In both cases,the tension in the spring is $F$. For a spring with spring constant $K$,the extension $x$ is given by Hooke's Law: $F = Kx$. In the first case,the spring is pulled by force $F$ at both ends,so the tension throughout the spring is $F$. Thus,$x = F/K$. In the second case,one end is fixed and the other is pulled by force $F$. The wall exerts an equal and opposite reaction force $F$ at the fixed end to maintain equilibrium. Thus,the tension in the spring is again $F$,and the extension is $x = F/K$. Therefore,the extension is the same in both cases.

The figure shows two cases. In the first case,a spring (spring constant $K$) is pulled by two equal and opposite forces $F$ at both ends. In the second case,it is pulled by a force $F$ at one end while the other end is fixed. The extensions $(x)$ in the springs will be:

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