Supose that you need 2 Joules to expand a spring from its natural length of 30 cm to 42 cm: A)How much work its required to expand it from 35 to 40 cm? B)How long will expand from its natural length if a force of 30N is aplied to it?
I need the answer, using calculus.
I need the answer, using calculus.
1 Answer
A)
Explanation:
Work is force times distance:
The spring obeys Hooke's Law:
where the sign of
Now we write that we needed two joules for the first .12 meters:
Work from 35 to 40, which is .05 to .10 on our ruler,
Force of 30 Newtons, means