Calculate the work required to stretch the following springs 0.5 m from their equilibrium positions. Assume Hooke's law is obeyed.
a. A spring that required a force of 50 N to be stretched 0.1 m from its equilibrium position.
b. A spring that required 50 J of work to be stretched 0.4 m from its equilibrium position.
(Type exact answers.)
The amount of work required is
(Type an integer or decimal rounded to three decimal places as needed.)
b. Set up the integral that gives the work done in stretching the spring 0.5 m from its equilibrium position. Use increasing limits of integration.
(Type exact answers.)
The amount of work required is