Physics mechanics question involving springs?

Posted on 2014-12-16 05:56:00 in Physics by MIKAYLA

A certain spring is found not to conform to Hooke's law. The force (in newtons) it exerts when stretched a distance x (in meters) is found to have magnitude 52.5x + 38.1x2 in the direction opposing the stretch.

(a) Compute the work required to stretch the spring from x = 0.500 m to x = 1.00 m.

(b) With one end of the spring fixed, a particle of mass 2.21 kg is attached to the other end of the spring when it is extended by an amount x = 1.00 m. If the particle is then released from rest, compute its speed at the instant the spring has returned to the configuration in which the extension is x = 0.500 m.

(c) Is the force exerted by the spring conservative or nonconservative?

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