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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?

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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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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