- #1
chocolatelover
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Hi,
Could someone please help me with this problem?
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?
w=lim a to b f(x)dx
work=(force)(distance)
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
Could someone please help me with this problem?
Homework Statement
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?
Homework Equations
w=lim a to b f(x)dx
work=(force)(distance)
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