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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

24J

B

32J

C

8J

D

16J

Text Solution

Verified by Experts

The correct Answer is:
C
K.E. of the block =Energy of the compressed spring `1/2 Mv^(2)=1/2kL^(2)`
`therefore v^(2)=(Kl^(2))/(M) therefore v=sqrt((k)/(M))L`
Maximum momentum of the block `=Mv=Msqrt((k)/(M))L =sqrt(kM)L`
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