An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released suddenly with the spring initially unstretched. Then the maximum extension in the spring is

4Mg/k

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2Mg/k

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Mg/k

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Mg/2k

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Solution

The correct option is B
2Mg/k

The decrease in potential energy of the block = increase in elastic potential energy of the spring

$∴ M g x_{m a x} = \frac{1}{2} k x^{2} m a x$

$\Rightarrow x_{m a x} = \frac{2 M g}{k}$

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An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released suddenly with the spring initially unstretched. Then the maximum extension in the spring is

The correct option is B 2Mg/k The decrease in potential energy of the block = increase in elastic potential energy of the spring ∴Mgxmax=12kx2 max ⇒xmax=2Mgk

The correct option is B
2Mg/k

The decrease in potential energy of the block = increase in elastic potential energy of the spring

$∴ M g x_{m a x} = \frac{1}{2} k x^{2} m a x$

$\Rightarrow x_{m a x} = \frac{2 M g}{k}$