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

Time and Work, A and B can finish a piece of work in 16 days and 12 days re...

A and B can finish a piece of work in 16 days and 12 days respectively.A started a work and worked at it for 2 days.He was then joined by B.Find the total time taken to finish the

Rewriting percent expressions, i have trouble going through problem in this...

i have trouble going through problem in this lesson. Markdown and Markups are theh ones im stuck in

Assignment, how to get the objective report?

how to get the objective report?

Fundamental theorem of integral facts , Fundamental Theorem of Calculus, Pa...

Fundamental Theorem of Calculus, Part II  Assume f(x) is a continuous function on [a,b] and also assume that F(x) is any anti- derivative for f(x). Hence, a ∫ b f(x) dx =

Integral calculus, I need help to understand: fxx for f(x,y)=x^2+y^2-2xy

I need help to understand: fxx for f(x,y)=x^2+y^2-2xy

Determine the relation is partially ordered, Determine if the relation repr...

Determine if the relation represented by the following Boolean matrix is partially ordered. Ans: Let the following relation R is defined on set A = {x, y, z}. To test if t

Julie had $500 how much money did julie spend, Julie had $500. She spent 20...

Julie had $500. She spent 20% of it on clothes and then 25% of the remaining money on CDs. How much money did Julie spend? Find out 20% of $500 by multiplying $500 by the decim

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