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rection 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? 236.6 ✔ N/m (b) What are the angular frequency w, the frequency, and the period of the motion? w = 21.542✔✔ rad/s f = 3.429 T = 0.292 (c) What is the total energy of the system? 0.2958 J Hz S (d) What is the amplitude of the motion? cm (e) What are the maximum velocity and the maximum acceleration of the particle? Vmax = amax = a = m/s m/s² (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.) V = m/s m/s²

rection 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? 236.6 ✔ N/m (b) What are the angular frequency w, the frequency, and the period of the motion? w = 21.542✔✔ rad/s f = 3.429 T = 0.292 (c) What is the total energy of the system? 0.2958 J Hz S (d) What is the amplitude of the motion? cm (e) What are the maximum velocity and the maximum acceleration of the particle? Vmax = amax = a = m/s m/s² (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.) V = m/s m/s²

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.10 N is applied. A 0.510-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? 236.6 ✔ N/m (b) What are the angular frequency w, the frequency, and the period of the motion? w = 21.542 rad/s f = 3.429 T = 0.292 (c) What is the total energy of the system? 0.2958 ✓ J ✓ Hz ✔S (d) What is the amplitude of the motion? cm (e) What are the maximum velocity and the maximum acceleration of the particle? Vmax = amax = a m/s m/s² (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.) V = m/s m/s²
Transcribed Image Text:A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.10 N is applied. A 0.510-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? 236.6 ✔ N/m (b) What are the angular frequency w, the frequency, and the period of the motion? w = 21.542 rad/s f = 3.429 T = 0.292 (c) What is the total energy of the system? 0.2958 ✓ J ✓ Hz ✔S (d) What is the amplitude of the motion? cm (e) What are the maximum velocity and the maximum acceleration of the particle? Vmax = amax = a m/s m/s² (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.) V = m/s m/s²
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