A block attached to a spring, pulled by a constant horizontal force, is kept on a smooth surface as shown in fig. Initially, the spring is in the natural length state. Then the maximum positive work that the applied force F can do is (given that string does not break)

$\frac{F^{2}}{k}$

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$\frac{2 F^{2}}{k}$

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$\infty$

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$\frac{F^{2}}{2 k}$

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Solution

The correct option is B
$\frac{2 F^{2}}{k}$

Applying work-energy theorem on the block, we get

Fl - $\frac{1}{2}$ k $l^{2}$ = 0
l = $\frac{2 F}{k}$ or work done = Fl = $\frac{2 F^{2}}{k}$

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A block attached to a spring, pulled by a constant horizontal force, is kept on a smooth surface as shown in fig. Initially, the spring is in the natural length state. Then the maximum positive work that the applied force F can do is (given that string does not break)

The correct option is B 2F2k Applying work-energy theorem on the block, we get Fl - 12kl2 = 0 l = 2Fk or work done = Fl = 2F2k

The correct option is B
$\frac{2 F^{2}}{k}$

Applying work-energy theorem on the block, we get

Fl - $\frac{1}{2}$ k $l^{2}$ = 0
l = $\frac{2 F}{k}$ or work done = Fl = $\frac{2 F^{2}}{k}$