A spring of force constant K is cut into two pieces such that the one piece is double the length of the other. Then the long piece will have a force constant of:
(2/3)K
3/2K
3K
6K
A
(2/3)K
B
6K
C
3/2K
D
3K
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Solution
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Force constant, K∝1l=cl
Let the spring cut into pieces
of length x,2x So, x+2x=l⇒x=l3 Force constant of long piece is: k′=c2x=Kl2l/3=3K2
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A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of :