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Springs and Forces: Frequency, Energy, Amplitude, and Velocity

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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.20 N is applied. A 1.200 kg particle rests on a friction-less horizontal surface and is attached to the free end of the spring. The particle is pulled horizontally so that it stretches the spring 5.00 cm and is then released from rest at t=0.

a) What is the force constant of the spring? (in N/M)
b) What are the period, frequency, and angular frequency (w) of the motion?
c) What is the total energy of the system?
d) What is the amplitude of the motion? (in meters)
e) What are the maximum velocity and the maximum acceleration of the particle?
f) Determine the displacement, x, of the particle from the equilibrium position at t = 0.500s.

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