Question

A bungee cord exerts a nonlinear elastic force of magnitude F(x) = k1x + k2x3, where...

A bungee cord exerts a nonlinear elastic force of magnitude F(x) = k1x + k2x3, where x is the distance the cord is stretched, k1 = 203 N/m and k2 = −0.220 N/m3. How much work (in kJ) must be done on the cord to stretch it 15.0 m?

_? kJ

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A bungee cord exerts a nonlinear elastic force of magnitude F(x) = k1x + k2x3, where...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A bungee cord exerts a nonlinear elastic force of magnitude F(x) = k1x + k2x3,where x...

    A bungee cord exerts a nonlinear elastic force of magnitude F(x) = k1x + k2x3,where x is the distance the cord is stretched, k1 = 205 N/m and k2 = −0.260 N/m3. How much work (in kJ) must be done on the cord to stretch it 12.0 m? Thanks!

  • A bungee cord exerts a nonlinear elastic force of magnitude F(x) = 192.1x + -0.13x^3 where...

    A bungee cord exerts a nonlinear elastic force of magnitude F(x) = 192.1x + -0.13x^3 where x is the distance the cord is stretched. How much work must be done on the cord to stretch it 18.5 m? Enter your answer in kJ to the tenth's place

  • 7.51 A bungee cord is 30.0 m long and. when stretched a distance x, it exerts...

    7.51 A bungee cord is 30.0 m long and. when stretched a distance x, it exerts a restoring force of magnitude kx. Your father-in-law (mass 100 kg) stands on a platform 45.0 m above the ground, and one end of the cord is tied securely to his ankle and the other end to the platform. You have promised him that when he steps off the platform he will fall a maximum distance of only 41.0 m before the cord stops...

  • A bungee cord is 30.0 m long and, when stretched a distance x, it exerts a...

    A bungee cord is 30.0 m long and, when stretched a distance x, it exerts a restoring force of magnitude kx. Your father-in-law (mass 97.0kg ) stands on a platform 45.0 m above the ground, and one end of the cord is tied securely to his ankle and the other end to the platform. You have promised him that when he steps off the platform he will fall a maximum distance of only 41.0 m before the cord stops him....

  • A bungee cord is essentially a very long rubber band that can stretch up to four...

    A bungee cord is essentially a very long rubber band that can stretch up to four times its unstretched length. However, its spring constant varies over its stretch [see Menz, P.G. “The Physics of Bungee Jumping.” The Physics Teacher (November 1993) 31: 483-487]. Suppose an unstretched bungee cord has a length l0 = 23.3 m and during a bungee jump it stretches so that its maximum total length is l = 53.7 m. Suppose that bungee cord behaves like an...

  • 5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-...

    5. In bungee jumping, it is obviously important to know in advance how far an elastic cord of un-stretched length L will stretch with a given weight attached to its end. In one model for this elongation, the cord is simply considered to be a weak spring with constant k and the person tied to the end of the cord is a point mass m. Air resistance and any pendulum motion of the cord mass system are ignored. Suppose a...

  • 10) A bungee cord measures 30 m when relaxed and has negligible mass. When it is...

    10) A bungee cord measures 30 m when relaxed and has negligible mass. When it is stretched, it can be modeled as a spring with spring constant k = 68 N/m. (This means the elastic energy in the cord is given by Usp = 1 2 kx2 , where x = L−30 m; in other words, x is the additional distance the cord is stretched beyond its “natural length” 30 m.) A 80-kg jumper secured to this cord wants to...

  • 4./Your adventurous friend Lola goes bungee jumping. She leaps from a bridge that is 100 m...

    4./Your adventurous friend Lola goes bungee jumping. She leaps from a bridge that is 100 m above a river. Her bungee cord has an un-stretched length of 50 m and a spring constant k - 600 N/m. Lola has a mass of 48 kg. How fast is she falling when she just starts to stretch the cord? How long does it take for Lola to reach this point? a) Lola stretches the bungee cord and it brings her to a...

  • Problem 15.48 A 90 kg student jumps off a bridge with a 12-m-long bungee cord tied...

    Problem 15.48 A 90 kg student jumps off a bridge with a 12-m-long bungee cord tied to his feet. The massless bungee cord has a spring constant of 410 N/m. You can assume that the bungee cord exerts no force until it begins to stretch. Part A How far below the bridge is the student's lowest point? Express your answer with the appropriate units. ? MÅ Value O Units [1] = Submit Previous Answers Request Answer X Incorrect; Try Again;...

  • A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax-...

    A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT