Answer:
The work is required to stretch it from 8 m to 16 m is 192 N-m
Explanation:
Given that,
Natural length = 8 m
Force F = 12 N
After stretched,
length = 10 m
We need to calculate the elongation
Using hook's law
The restoring force is directly proportional to the displacement.
Where, k = spring constant
Negative sign shows the displacement in opposite direction
Now, The value of k is
When stretch the string from 8 m to 16 m.
Then the elongation is
Now, The work is required to stretch it from 8 m to 16 m
Where, k = spring constant
x = elongation
Hence, The work is required to stretch it from 8 m to 16 m is 192 N-m