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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: An object attched to vertical spring is slowly lowered
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amitp91 (258)

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An object attached to vertical spring is slowly lowered to its equillibium position,thus stretching the b an amount d. now the same vertical spring is allowed to fall. this spring will stretch by

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crack (380)

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in case the spring is attached to a fixed surface.....
actually the spring will compress....b coz when an object is undergoing a free fall it will experience weightlessness..... so ht e force applied on the downward direction will decrease......
 
in case of free fall.....
the block is moving with the spring or vice versa(all the same) it can be treated as a single entity......
therefore we can conclude
spring will not stretch.......
anyway the amount the spring  strech will depend on the spring constant....

 

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crack (380)

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hey amit
am i right......

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AJ1991 (216)

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Hey dude!
The extension will be equal to d,i.e.the same.
Initially,the relative acceleration of the block w.r.t. the spring was 0.
Finally,when both fall freely,even then the relative acceleration is 0,because both move with accn=g,downwards.
This is a clear explanation of your problem.
Plz do RATE me!!

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crack (380)

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i think AJ is right i was thinking in terms of a spring balance....
in case of a spring balance i am right.......i am cent percent sure in your case don no

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AJ1991 (216)

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Hey crack!
if you think i was right,why dont't you give me a rating.

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AJ1991 (216)

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Come on rate me!!!!!!!!!!!!!!!!!!!!!!!!

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crack (380)

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let him rate you first....its his question and if he rates you
i will rate you too......
dude i am still not sure.....abt yours and my ans.......lets see

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crack (380)

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you owe me a rate....... dude
lol

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tanveergill (27)

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The answer is 2d
 
Kd = mg (equilibrium condition)
d = mg/k                       -1    
 
When the block is released it will have maximum elongation, when it has zero kinetic energy. That is at maximum elongation 
increase in spring's potential energy = decrease in gravitational potential energy 
 
Hence mgx = 1/2 Kx2
          mg = 1/2 Kx
          x = 2mg/k
          x = 2d                 (from 1) 
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