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Could someone please help me with this problem?

1. The problem statement, all variables and given/known data

A spring has a natural length of 20 cm. If a 25 N force is required to keep it stretched to a length of 30 cm, how much work is required to stretch it from 20 cm to 25 cm?

2. Relevant equations

w=lim a to b f(x)dx

work=(force)(distance)

3. The attempt at a solution

int. from 0 to 10 kxdx=25N

25=[1/2kx^2]0 to 10

25=1/2k(10)^2

25=50k

k=.5

int. from .05 to .10 (.5)xdx

Could someone please tell me if this is correct so far?

Thank you very much

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# Work and force

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