When a spring is released from unstreched position , we have to find its maximum elongation 1. if we equate forces , kx=mg we get x=mg/k 2.if we equate the energy change , we get : 0.5kx^2=mgx x=2mg/k how can we get two different answers ?

When a spring is released from unstreched position , we have to find i

1.	When a spring is released from unstreched position , we have to find its maximum elongation 1. if we equate forces , kx=mg we get x=mg/k 2.if we equate the energy change , we get : 0.5kx^2=mgx x=2mg/k how can we get two different answers ?
Answer» ST one is correct. In the second one, EVERY part of the spring is not moving by x. Thus, it won't be mgx but mgx/2 considering CENTRE of MASS of the spring.

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When a spring is released from unstreched position , we have to find its maximum elongation 1. if we equate forces , kx=mg we get x=mg/k 2.if we equate the energy change , we get : 0.5kx^2=mgx x=2mg/k how can we get two different answers ?

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