Estimate how much work is completed in stretching, Mathematics

Assignment Help:

A spring has a natural length of 20 Centimeter. A 40 N force is needed to stretch and hold the spring to a length of 30 Centimeter. How much work is completed in stretching the spring from 35 Centimeter to 38 Centimeter?

Solution : This illustration will need Hooke's Law to find out the force. Law of Hooke tells us that the force needed to stretch a spring a distance of x meters by its natural length is,

F(x) = k x

Here k < 0 is termed as the spring constant.

The first thing that we require to do is find out the spring constant for this spring. We can do which using the initial information.  A force of 40 N is needed to stretch the spring 30Centimeter -20Centimeter = 10 Centimeter = 0.10meter from its natural length. By using Law of Hooke we have,

 40 = 0.10k     ⇒     k = 400

 Therefore as per Hooke's Law the force needed to hold this spring x meters from its natural length,

 F(x) = 400x

 We need to know the work required to stretch the spring from 35Centimeter to 38Centimeter. First we require converting these in distances from the natural length in meters.  Doing this provides us x's of 0.15meter and 0.18meter.

The work is now,

1046_work2.png


Related Discussions:- Estimate how much work is completed in stretching

Geometric interpretation of the cross product, Geometric Interpretation of ...

Geometric Interpretation of the Cross Product There is as well a geometric interpretation of the cross product.  Firstly we will let θ be the angle in between the two vectors a

Algebra, how do you solve quadratic equations by factoring?

how do you solve quadratic equations by factoring?

Linear algebra, solve for k such that the system 4x+ky=6 kx+y=-3

solve for k such that the system 4x+ky=6 kx+y=-3

Pearson sucess, do you have a decimal place value chart

do you have a decimal place value chart

UNITARY METHOD, A group of 120 men had food for 200 days.After 5 days , 30 ...

A group of 120 men had food for 200 days.After 5 days , 30 men die of disease.How long will the remaining food last

Basic Mathematics, Distinguish between Mealy and Moore Machine? Construct a...

Distinguish between Mealy and Moore Machine? Construct a Mealy machine that can output EVEN or ODD According to the total no. of 1''''s encountered is even or odd.on..

Addition of unlike terms, In this case, the first point we have to re...

In this case, the first point we have to remember is that we do not get a single value when we add two or more terms which are unlike in nature. This certainly ob

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd