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An ideal spring with spring constant k i...

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 with the spring initially unstretched. Then the maximum extension in the spring is

A

Mg/2k

B

Mg/k

C

2 Mg/k

D

4 Mg/k

Text Solution

Verified by Experts

The correct Answer is:
C

Loss in grav. PE= gain in spring PE
At maximum elongation
`Mgx=(1)/(2)kx^(2)`
`x=(2Mg)/(k)`
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