physics help!

Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 155 N/m. The motion of the object on spring 1 has twice the amplitude as the motion of the object on spring 2. The magnitude of the maximum velocity is the same in each case. Find the spring constant of spring 2.

  1. 👍
  2. 👎
  3. 👁
  1. Maximum velocity = w * (amplitude)

    w is the angular frequency sqrt (k/m)

    If the maximum velocities are the same, and object 1 has twice the amplitude, then its angular frequency must be half that of object 2. The natural frequency of object 2 is twice that of object 1.

    Since the masses are equal, k is 4 times higher for object 2, or 620 N/m

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    An object with mass 3.0 kg is attached to a spring with spring stiffness constant k = 300 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55

  2. physics

    which of the following would be the best example of non damped simple harmonic motion? A. mass oscillating vertically on a spring B. sound waves propagating through water C. light waves propagating through a vacuum D. guitar

  3. physics

    A clown is rocking on a rocking chair in the dark. His glowing red nose moves back and forth a distance of 0.42m exactly 30 times a minute in a simple harmonic motion. (a) what is the amplitude of this motion? (b) what is the

  4. physics

    A 200g mass is attached to a spring and allowed to execute simple harmonic motion with a period of 0.25seconds. If the total energy of the system is 2.0 joules, find the force constant of the spring and the amplitude of the

  1. physics

    A body of mass 20g is suspended from the end of a spiral spring whose force constant is 0.5N/m. The body is set into a simple harmonic motion with amplitude 0.2m. Calculate the period of the motion?

  2. College Physics

    Answer the following questions for a mass that is hanging on a spring and oscillating up and down with simple harmonic motion. Note: the oscillation is small enough that the spring stays stretched beyond its rest length the entire

  3. physics.....help me please....

    1) A 1.0 kg mass is attached to the end of a vertical ideal spring with a force constant of 400 N/m. The mass is set in simple harmonic motion with an amplitude of 10 cm. What is the speed of the 1.0 kg mass at the equilibrium

  4. physics

    A 2.0 kg mass is attached to the end of horizontal spring (k = 50 N/m) and set into simple harmonic motion with an amplitude of 0.10 m. What is the maximum speed of the mass? (Assume there is no friction.) A. 0.25 m/s B. 0.5 m/s

  1. physics..... please....urgent....

    A 1.0 kg mass is attached to the end of a vertical ideal spring with a force constant of 400 N/m. The mass is set in simple harmonic motion with an amplitude of 10 cm. What is the speed of the 1.0 kg mass at the equilibrium

  2. physics

    Suppose a diving board with no one on it bounces up and down in a simple harmonic motion with a frequency of 3.00 Hz. The board has an effective mass of 10.0 kg. What is the frequency of the simple harmonic motion of a 62.0 kg

  3. physics

    A particle executes simple harmonic motion with an amplitude of 3.00 cm. At what positions does its speed equal two thirds of its maximum speed?

  4. College Physics

    A mass of 0.4 kg, hanging from a spring with a spring constant of 80 N/m, is set into an up-and-down simple harmonic motion. What is the velocity of the mass when at its maximum displacement of 0.1 m?

You can view more similar questions or ask a new question.