A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
The "springflex" exercise system consists of a spring with one end fixed and a handle on the other end. The idea is that you exercise your muscles by stretching the spring from its natural length, which is 33 cm. If a 110 Newton force is required to keep the spring stretched to a length of 46 cm, how much work is required to stretch it from 44 cm to 60 cm?
anonymous
 5 years ago
The "springflex" exercise system consists of a spring with one end fixed and a handle on the other end. The idea is that you exercise your muscles by stretching the spring from its natural length, which is 33 cm. If a 110 Newton force is required to keep the spring stretched to a length of 46 cm, how much work is required to stretch it from 44 cm to 60 cm?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0F=kx, so 110=(k)(4633) 110/13=k So the force required to stretch it from 44 to 60cm is the force required to stretch it to 60 minus the force required to stretch it to 44 F=(k)60(k)44=(k)(6044)=(k)16=(110/13)16=135.4N Remember your significant figures on your final answer!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you, but the problem wants the work, not the force...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You need to work out the spring constant first. You're told the equilibrium position is 33cm, and upon stretching to 46cm, the force required is 110N. Hence,\[F=k(xx_0) \rightarrow =110N=k(0.46m.33m)\rightarrow k=\frac{11000}{13}N/m\]The work is given by,\[W=\int\limits_{x_i}^{x_f}F.dx=\int\limits_{x_i}^{x_f}(k(xx_0)).dx\]\[=\frac{k}{2}((x_fx_0)^2(x_ix_0)^2)\]Inserting your values,\[W=\frac{11000}{3}((.60.33)^2(.44.33)^2)J=222\frac{2}{15}J\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry, I apparently didn't read carefully!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.