# The amplitude of a system moving in simple harmonic motion is doubled. Determine the change in (a) the total energy, (b) the maximum speed, (c) the maximum acceleration, and (d) the period.

### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

Chapter
Section

### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 15, Problem 15.26P
Textbook Problem
194 views

## The amplitude of a system moving in simple harmonic motion is doubled. Determine the change in (a) the total energy, (b) the maximum speed, (c) the maximum acceleration, and (d) the period.

(a)

To determine

The change in the total energy of a system moving in simple harmonic motion when its amplitude is doubled.

### Explanation of Solution

The formula to calculate total energy in a single harmonic motion is,

Â Â Â Â E=12kA2

Here, A is the amplitude and k is the force constant of the spring

The amplitude is doubled then,

Â Â Â Â A=2A

Substitute 2A for A in above equation to find E

(b)

To determine

The change in the maximum speed of a system moving in simple harmonic motion when its amplitude is doubled.

(c)

To determine

The change in the maximum acceleration of a system moving in simple harmonic motion when its amplitude is doubled.

(d)

To determine

The change in the time period of a system moving in simple harmonic motion when its amplitude is doubled.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
The bladder straddles the cardiovascular system and filters the blood. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

How does a corridor differ from a patch?

Fundamentals of Physical Geography

Unlike mass, weight is not a(n) ___ property. (1.4)

An Introduction to Physical Science

25-26 How many histones are present in a nucleosome?

Introduction to General, Organic and Biochemistry

Why are titanium oxide features visible in the spectra of only the coolest stars?

Horizons: Exploring the Universe (MindTap Course List)

How does the Coriolis effect influence atmospheric circulation?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

An onion is a _____ (choose all that apply). a. root b. stem c. bulb d. corm

Biology: The Unity and Diversity of Life (MindTap Course List)