A spring of force constant k is cut info two pieces such that one piece is double the length of the other. Then, the long plece will have a force constant of

Options

A. `(2)/(3)k`
B. `(3)/(2)k`
C. 3k
D. 6k

Answer

B

Explanation

Let `l_(1)andl_(2)` between length of 2 pieces.
`l_(1)=2l_(2)" "…(1)`
`l_(1)+l_(2)=l`
`2l_(2)+l_(2)=3l_(2)=l` Sub in (1)
`l_(1)=(2)/(3)l`
`kprop(1)/(l)`
=`(3)/(2)k` (Force constant)