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A spring of mass of 5 kg is resting on a frictionless horizontal surface and is...

A spring of mass of 5 kg is resting on a frictionless horizontal surface and is pressed against a spring with a spring constant of 500 N/m, compressing the spring 25 cm and then released. Draw a picture, label the variables, and label applicable equations to answer the following: (a) How fast will the spring be going at x = + .25 m?; (b) how fast will the spring be going at x = 0 m?; (c) at what position will the spring have no velocity?; (d) what is the spring have its greatest acceleration? (e) Write the equation for the moving position of the mass as a function of time (f) Write the equation for the velocity of the moving mass as a function of time.

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