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A spring of spring constant 5 xx 10^(3) ...

A spring of spring constant `5 xx 10^(3) N//m` is stretched initially by 5 cm from the unstretched position. The work required to further stretch the spring by another 5 cm is .

A

(a) `6.25 N-m`

B

(b) `12/50 N-m`

C

(c ) `18.75 N-m`

D

(d) `25.00 N-m`

Text Solution

Verified by Experts

The correct Answer is:
C
`W =U_(f)-U_(i) =1/2K(X_(f)^(2)-X_(i)^(2))`
`=1/2 xx 5 xx 10^(3)[(0.1)^(2)-(0.05)^(2)]`
`=18.75 J`
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