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3. A spring stretches 3.0 cm from its relaxed length when a force of 7.5 N is applied. A particle with a mass of 0.5 kg rests on a frictionless horizontal surface and is attached to the free end of the spring: The particle is pulled horizontally so that it stretches the spring 5.0 cm and is then released from rest at t 0. (a) What is the force constant of the spring? (b) What are the period, frequency, f, and the angular fre- quency, o, of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the mo- tion? (e) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement r,of the particle from the equilib- rium position at t = 0.5 s. 12
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