A particle attached to a spring with k = 50 N/m is undergoing simple harmonic motion, and

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A particle attached to a spring with k = 50 N/m is undergoing simple harmonic motion, and its position is described by the equation x = (5.7 m)cos(7.5t), with t measured in seconds. 

(a) What is the mass of the particle? 

(b) What is the period of the motion? 

(c) What is the maximum speed of the particle? 

(d) What is the maximum potential energy? 

(e) What is the total energy?

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