Question: Problem 1 : Mass on a spring A 2 kg mass, attached to a spring with spring constant 2 0 0 N / m ,

Problem 1: Mass on a spring A 2 kg mass, attached to a spring with spring constant 200 N/m, oscillates on a horizontal, frictionless surface. The total energy in the oscillator is 0.25 J. The equilibrium position of the oscillator is at =0. A. Determine the angular frequency of the oscillator. B. Determine the amplitude of the oscillation? C. What is the period of the oscillation? D. Determine the speed of the mass when it passes its equilibrium position. =0 E. At what position is the potential energy of the oscillator equal to its kinetic energy? F. Determine the magnitude of the acceleration at =2. G. Assume that the oscillator is maximally stretched at =0. At what time will the oscillator first reach the position =2? H. What is the second time that the oscillator will reach the position =2?

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