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

Regression and correlation analysis on income and ex, regression and correl...

regression and correlation analysis on income and expenditure

Subtraction of like terms with same signs, Suppose we are required to...

Suppose we are required to find the difference between 3abc and 7abc. We look at two scenarios. The value we would obtain by subtracting a larger quantity from th

rational nmber, every rational nmber is expressible either as a_________or...

every rational nmber is expressible either as a_________or as a____________decimal.

Algorithm for division helping a child grasp, E1) Why don't you think of so...

E1) Why don't you think of some activities for the same purpose now? E2) Suggest, in detail, another activity for helping a child grasp the algorithm for division. We come to

Neuro marketing, Does neuro marketing give impetus to new consumer behavio...

Does neuro marketing give impetus to new consumer behaviour

How does a child think-knowing your maths learner, HOW DOES A CHILD THINK? ...

HOW DOES A CHILD THINK? :  You must have interacted with children of various ages. From your experience, do you feel that children start learning, from a very early age, and conti

Example of fraction, Example  Reduce 24/36 to its lowest terms. 2...

Example  Reduce 24/36 to its lowest terms. 24/36=12/18=6/9=2/3. In the first step we divide the numerator and the denominator by 2. The fraction gets reduced

Permatuation and combination problem, A,B,C are natural numbers and are in ...

A,B,C are natural numbers and are in arithmetic progressions and a+b+c=21.then find the possible values for a,b,c Solution) a+b+c=21 a+c=2b 3b=21 b=7 a can be 1,2,3,4,5,6 c c

Find ways in which prizes are distributed between student, Find out the num...

Find out the number of ways in which 5 prizes can be distributed among 5 students such that  (a)   Each student may get a prize. (b)  There is no restriction to the number o

Simplification, if a+1/b=b+1/c=c+1/a then the value of abc is

if a+1/b=b+1/c=c+1/a then the value of abc is

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