Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

The right end of a relaxed standard spring is at the origin; the left end is clamped at some point on the negative x-axis. Holding the spring’s right end at location x=5 cm requires a force of N. Find the work (in Joules) required to stretch the spring from 5 cm to 8 cm.

The Right End Of A Relaxed Standard Spring Is At The Origin The Left End Is Clamped At Some Point On The Negative Xaxis Holding The Springs Right End At Locatio class=

Sagot :

lhannearaujo

The work required to stretch the spring is 350J.

Hooke's Law

This law can be written by the formula: F=kx, where:

F= elastic force (N)

k= spring constant (N/m)

x= linear displacement (m)

Spring Work

For finding the spring work in J, you should apply the formula  [tex]W=\frac{k*(\Delta x)^2}{2}[/tex], where:

W= work (J)

k= spring constant (N/m)

x= difference between the linear displacements (m)

The question gives:

x=5 cm=0.05m requires a force of 1.4N

x=8 cm =0.08m

  • Step 1 - First, you should find the spring constant from Hooke's law, for x=5 cm and F=1.4N.

                                          [tex]F=kx\\ 1.4=k*0.05\\ \\ k=\frac{1.4}{0.05} =28\frac{N}{m}[/tex]

  • Step 2 - Now you can apply the formula for spring work.

                                       [tex]W=\frac{k*(\Delta x)^2}{2}\\ \\ W=\frac{28*(8-3)^2}{2} \\ \\ W=\frac{28*(5)^2}{2}\\ \\ W=\frac{28*25}{2}\\ \\ W=\frac{700}{2}=350J[/tex]

Read more about the spring work here:

https://brainly.com/question/3317535

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.