A horizontal spring with force constant k = 58.0 N/m is used to accelerate a 0.520-kg mass on a frictionless surface. If the spring is compressed by 5.75 x 102 m and released, find the following. (a) the initial magnitude of the spring force when the mass released N (b) the Initial acceleration of the mass m/s2

A horizontal spring with force constant k = 58.0 N/m is used to accelerate a 0.520-kg mass on a frictionless surface. If the spring is compressed by 5.75 x 102 m and released, find the following. (a) the initial magnitude of the spring force when the mass released N (b) the Initial acceleration of the mass m/s2

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 10P: A 1.00-kg glider attached to a spring with a force constant of 25.0 N/m oscillates on a...

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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-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. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) 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. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
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