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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.00 N is applied. A 0.540-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 tox = 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.) N/m (a) What is the force constant of the spring? (b) What are the angular frequency w, the frequency, and the period of the motion? W = rad/s f = Hz T= (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 = m/s amax = m/s?

A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.00 N is applied. A 0.540-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 tox = 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.) N/m (a) What is the force constant of the spring? (b) What are the angular frequency w, the frequency, and the period of the motion? W = rad/s f = Hz T= (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 = m/s amax = m/s?

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.52P: A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where...
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Can someone please help with question 3. Will give thumbs up 

Click to se A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.00 N is applied. A 0.540-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.) N/m (a) What is the force constant of the spring? (b) What are the angular frequency w, the frequency, and the period of the motion? W = rad/s Hz T= S (c) What is the total energy of the system? (d) What is the amplitude of the motion? cm (e) What are the maximum velocity and the maximum acceleration of the particle? Vmax m/s amax = m/s? (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 a = m/s?
Transcribed Image Text:Click to se A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.00 N is applied. A 0.540-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.) N/m (a) What is the force constant of the spring? (b) What are the angular frequency w, the frequency, and the period of the motion? W = rad/s Hz T= S (c) What is the total energy of the system? (d) What is the amplitude of the motion? cm (e) What are the maximum velocity and the maximum acceleration of the particle? Vmax m/s amax = m/s? (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 a = m/s?
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