A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of...

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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 8.70 N is applied. A 0.580-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. Use the exact values you enter to make later calculations.) (a) What is the force constant of the spring? N/m (b) What are the angular frequency w, the frequency, and the period of the motion? @= f= T = rad/s Hz S (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? Vmax = Amax = m/s m/s2 (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. cm a = (g) Determine the velocity and acceleration of the particle when t = 0.500 s. (Indicate the direction with the sign of your answer.) V = m/s m/s A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 8.70 N is applied. A 0.580-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. Use the exact values you enter to make later calculations.) (a) What is the force constant of the spring? N/m (b) What are the angular frequency w, the frequency, and the period of the motion? @= f= T = rad/s Hz S (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? Vmax = Amax = m/s m/s2 (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. cm a = (g) Determine the velocity and acceleration of the particle when t = 0.500 s. (Indicate the direction with the sign of your answer.) V = m/s m/s

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