A 230.0 g object on a spring oscillates on a frictionless horizontal surface with frequency 2.00 Hz

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A 230.0 g object on a spring oscillates on a frictionless horizontal surface with frequency 2.00 Hz and amplitude 8.00 cm. Its position as a function of time is given by x = A sin ωt. 

(a) Sketch a graph of the elastic potential energy as a function of time. 

(b) Graph the system’s kinetic energy as a function of time. 

(c) Graph the sum of the kinetic energy and the potential energy as a function of time. 

(d) Describe qualitatively how your answers would change if the surface weren’t frictionless.

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