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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.70 N is applied. A 0.490-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive.)
(a) What is the force constant of the spring?
N/m
(b) What are the angular frequency (?), the frequency, and the period of the motion?
(c) What is the total energy of the system?
J
(d) What is the amplitude of the motion?cm
(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 = 0.500 s.
cm
(g) Determine the velocity and acceleration of the particle when t = 0.500 s. (Indicate the direction with the sign of your answer.)
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