A block of mass $M$ is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value $k$ . The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be

2 Mg/k

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4 Mg/k

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Mg/2k

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Mg/k

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Solution

The correct option is A $2 Mg/k$

For the maximum extenction:
$m g x_{m a x} = \frac{1}{2} m x_{m a x}^{2} x_{m a x} = \frac{2 m g}{k}$

Hence, for the maximum extenctionof spring wil be $\frac{2 m g}{k} .$

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A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be

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A block of mass $M$ is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value $k$ . The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be

The correct option is A $2 Mg/k$

For the maximum extenction:
$m g x_{m a x} = \frac{1}{2} m x_{m a x}^{2} x_{m a x} = \frac{2 m g}{k}$

Hence, for the maximum extenctionof spring wil be $\frac{2 m g}{k} .$