PHYSICS

A 75 g bungee cord has an equilibrium length of 1.20 m. The cord is stretched to a length of
1.80 m, then vibrated at 20 Hz. This produces a standing wave with two antinodes. What is the
spring constant of the bungee cord?

  1. 👍 0
  2. 👎 0
  3. 👁 352
asked by Lucas
  1. A standing wave with two antinodes has a wavelength for traveling waves equal to the cord length, 1.80 m.

    The wave speed V is the product of wavelength and frequency, or 36 m/s

    From that wave speed, derive the Tension required to stretch the cord 0.60 m. From that you can get the spring constant.

    Note that the lineal density of the stretched cord is
    d = 0.075 kg/1.80 m
    = 4.167*10^-2 kg/m.

    You will need that to relate the wave speed to the tension.

    V = sqrt(T/d)

    T = d*V^2 = 36^2*4.167*10^-2 = 54 N

    Spring constant = 54N/0.60 m = 90 N/m

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    The hero pursues the villain up to the top of a bungee jumping apparatus. The villain appears trapped but to create a diversion she drops a bottle. The hero quickly straps on the bungee cord to his leg and dives straight down to

    asked by Jack on November 18, 2011
  2. college physics 1

    As part of a fundraiser, the Chancellor has agreed to bungee jump from a crane 45 m above a pool filled with Jello. The plan is for the bungee cord to stop the Chancellor just before his head enters the Jello. Your task is to

    asked by somoan on February 12, 2015
  3. physic

    Bungee Jumping. A bungee jumper jumps from a tall bridge attached to a light elastic cord (bungee cord) of unstretched length L. The cord first straightens and then extends as the jumper falls. This prevents her from hitting the

    asked by Anonymous on October 20, 2013
  4. Physics

    A 63.0-kg bungee jumper is standing on a tall platform (h0 = 45.8 m). The bungee cord has an unstrained length of L0 = 9.18 m and, when stretched, behaves like an ideal spring with a spring constant of k = 67.2 N/m. The jumper

    asked by Anne on November 30, 2011
  5. AP Physics B

    A 63.6-kg bungee jumper is standing on a tall platform (h0 = 50.6 m). The bungee cord has an unstrained length of L0 = 9.54 m and, when stretched, behaves like an ideal spring with a spring constant of k = 67.8 N/m. The jumper

    asked by Alexis on November 29, 2012
  6. Physics

    A 63.0-kg bungee jumper is standing on a tall platform (h0 = 45.8 m). The bungee cord has an unstrained length of L0 = 9.18 m and, when stretched, behaves like an ideal spring with a spring constant of k = 67.2 N/m. The jumper

    asked by Anne on November 30, 2011
  7. science

    A bungee jumper jumps (with no initial speed) from a tall bridge attached to a light elastic cord (bungee cord) of unstretched length L. The cord first straightens and then extends as the jumper falls. This prevents her from

    asked by mechanics on October 22, 2013
  8. physics

    A 61.0 -kg bungee jumper is standing on a tall platform (h0 = 46.0 m), as indicated in the figure. The bungee cord has an unstrained length of L0 = 9.00 m, and when stretched, behaves like an ideal spring with a spring constant of

    asked by tony on November 25, 2014
  9. Physics Classical Mechanics

    A bungee jumper jumps (with no initial speed) from a tall bridge attached to a light elastic cord (bungee cord) of unstretched length L. The cord first straightens and then extends as the jumper falls. This prevents her from

    asked by Anonymous on October 21, 2013
  10. physics

    5. A 2.00-kg block hangs from a rubber cord, being supported so that the cord is not stretched. The unstretched length of the cord is 0.500 m, and its mass is 5.00 g. The “spring constant” for the cord is 100 N/m. The block is

    asked by arjunsareen on January 24, 2012

More Similar Questions