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Question

Calculate the work required to stretch the following springs 1.75 m from their equilibrium positions. Assume Hooke's law is obeyed.

a. A spring that required 120 J of work to be stretched 0.2 m from its equilibrium position.

b. A spring that required a force of 200 N to be stretched 0.2 m from its equilibrium position.

a. Set up the integral that gives the work done in stretching the spring 1.75 m from its equilibrium position. Use increasing limits of integration.

JOdx

(Type exact answers.)

The amount of work required is

(Round to the nearest integer as needed.)

b. Set up the integral that gives the work done in stretching the spring 1.75 m from its equilibrium position. Use increasing limits of integration.

JOdx

(Type exact answers.)

The amount of work required is

(Round to the nearest integer as needed.)

Fig: 1