Solution Found!

Physics / Physics with MasteringPhysics 4 / Chapter 13 / Problem 47P

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

Change Question

A 0.321-kg mass is attached to a spring with a force

Chapter 13, Problem 47P

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

Problem 47P

A 0.321-kg mass is attached to a spring with a force constant of 13.3 N/m. If the mass is displaced 0.256 m from equilibrium and released, what is its speed when it is 0.128 m from equilibrium?

Questions & Answers

QUESTION:

Problem 47P

A 0.321-kg mass is attached to a spring with a force constant of 13.3 N/m. If the mass is displaced 0.256 m from equilibrium and released, what is its speed when it is 0.128 m from equilibrium?

ANSWER:

Step 1 of 2:

Here we have to find the speed of the block when it is 0.128 m far from the equilibrium position.

The mass of the block is,

$m=0.321\ kg$ .

The force constant of the spring is,

$k=13.3\ N/m$ .

The displacement of the mass from the equilibrium is,

$x=0.256\ m$ .

The potential energy stored in the spring is,

$P.{E}_{i}=\frac{1}{2}k{x}^{2}$

$=\frac{1}{2}\times{}13.3\times{}0.25{6}^{2}$

$=0.435\ J$ .

The initial kinetic energy was zero.

When the mass is at a distance of 0.128 m from the equilibrium position, the potential energy will be,

$P.{E}_{f}=\frac{1}{2}k{{x}_{new}}^{2}$

$=\frac{1}{2}\times{}13.3\times{}0.12{8}^{2}$

$=0.108J$ .

Study Tools You Might Need

Chapter: 13 Problem: 90P

Introductory Chemistry 5
Determine the volume of 0.225 M KOH solution required to neutralize each sample of sulfuric acid. The neutralization reaction is: \(\mathrm {H_2SO_4}(aq)+2~\mathrm {KOH}(aq) \longrightarrow \mathrm{K_2SO_4}(aq)+2~\mathrm{H_2O}(l)\) (a) 45 mL of 0.225 M \(\mathrm {H_2SO_4}\) (b) 185 m

Chapter: 41 Problem: 1

Campbell Biology in Focus 2
What are pathogens?

Chapter: 5 Problem: 2

Concepts of Biology 1
What two products result from photosynthesis? a. water and carbon dioxide b. water and oxygen c. glucose and oxygen d. glucose and carbon dioxide

Chapter: 3 Problem: 25

Accounting Information Systems 9
What is collusion?

Chapter: 8 Problem: 23

Human Heredity: Principles and Issues 11
How does DNA replication occur in a precise manner to ensure that identical genetic information is put into the new chromatid? See Figures 3 and 4. FIGURE 3 In DNA replication, the two polynucleotide strands uncoil, and each is a template for synthesizing a new strand. A replicated DNA molecule con

Chapter: 8 Problem: 9

Urban Economics 8
Using Figure 85 as a starting point, suppose the premium curve for black house- holds is an inverted U and lies above the white curve for a white population in the range 5060 whites, but below the white curve for a larger white population. In other words, the two premium curves intersect at 60 white

Chapter: 9 Problem: 6

Principles of Economics 9
Which of the following trade policies would benefit producers, hurt consumers, and increase the amount of trade? a. the increase of a tariff in an importing country b. the reduction of a tariff in an importing country c. starting to allow trade when the world price is greater than the domestic price

Chapter: 20 Problem: 1

Biochemistry 9
Briefly summarize the steps in the electron transport chain from NADH to oxygen.

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account