# A 0.125 kg mass is attached to a spring and undergoes simple harmonic motion with a period of...

## Question:

A 0.125 kg mass is attached to a spring and undergoes simple harmonic motion with a period of 0.41 s. The total energy of the system is 2.5 J. Find the amplitude of the motion. Answer in units of m.

## Period of Oscillation:

In a spring-mass system when a small disturbance is applied to the mass m then it oscillates with a time period given by {eq}T=\displaystyle {2\pi} \sqrt { \displaystyle \frac{m} {k}}\\ {/eq}

• where k is the force constant of the spring

Become a Study.com member to unlock this answer! Create your account

Given:

• The mass of the object is m = 0.125 kg.
• Time period of oscillation is T = 0.41 s.
• The total energy of the system is E = 2.5 J.

From the...

Practice Applying Spring Constant Formulas

from

Chapter 17 / Lesson 11
3.4K

In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.