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A spring of force constant 800N//m has a...

A spring of force constant `800N//m` has an extension of 5cm. The work done in extending it from 5cm to 15cm is

A

16 J

B

8 J

C

32 J

D

24 J

Text Solution

Verified by Experts

The correct Answer is:
B
`U_1=(1)/(2)k(5)^2xx10^-4`
`U_2=(1)/(2)k(15)^2xx10^-4`
`W_(1rarr2)=U_2-U_1`
`=(1)/(2)k[(15)^2-(5)^2]xx10^-4`
`=(1)/(2)xx800(20)(10)xx10^-4=8J`
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