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(a) Use energy ideas to set up an equation that describes the motion of a mass...

(a) Use energy ideas to set up an equation that describes the motion of a mass moving horizontally under the influence of a linear spring force. Neglect air resistance and friction. Solve your equation to obtain expressions for the object’s position, velocity and acceleration as functions of time. Obtain an expression for the angular frequency of the oscillation. Clearly define all quantities you need to do this. Show and explain each step, and be clear about what your answers are for each of the four equations.

(b) Repeat part (a) using Newton's second law.

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