Answer to Question #180033 in Calculus for tifanny pulido

Question

a manufacturer wants to build a spring that takes a force 10 n(in negative direction) to compress it 0.2 m from the equilibrium position.the spring should be able to stretch 0.5 m from the equilibrium position.

as a mechanical engineer, you were asked to present how much work should be done to stretch the spring.the presentationshall include important components of the problems, complete and correct computations and a logical and organizedexplanation.

Answer 1

$F=-10N, x_1=0.2m, x_2=0.5m$

Stretch in spring $x=x_1-x_2=0.2-0.5=-0.3m$

Work done to stretch the string $W=Fx=-10\times -0.3=3J$