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A block of mass M is attached to the low...

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

A

`( 4Mg)/(k)`

B

`(2 Mg)/k`

C

`(Mg)/k`

D

`(Mg)/(2k)`

Text Solution

Verified by Experts

The correct Answer is:
B
From work-energy theorem, `W_g + W_s = 0`
`implies Mgx - 1/2 kx^2 = 0 implies x = (2 mg)/(k)`
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