Question

A spring is found to not obey Hookes law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2 + 4 N. The mass is pulled a distance of 3.50 m to the right (the positive x direction) in order to stretch the spring, and is then released. What is the speed of the object when it is 2.0 m to the right of the x0 equilibrium position? (c) Using the same values in part (b) above, how far from the equilibrium point does the spring with attached mass reach its maximum velocity
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