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 motion.

  1. 1
asked by Tina
  1. F = -k x
    x = A sin w t
    v = Aw cos wt
    a = -Aw^2 sin wt = -w^2 x
    but
    F = m a
    -k x = m(-w^2 x)
    so
    w^2 =k/m
    (2pi)^2/T^2 = k/m
    k = m (2pi)^2/T^2 = 0.200* (2pi)^2/0.25^2
    k = 126 Newtons/meter
    now back to get A
    when at max x, energy = (1/2) k x^2
    = (1/2) k A^2
    so
    (1/2) k A^2 = 2 Joules
    we know k, solve for A

    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. PHYsics !!

    a) What do you understand by Simple Harmonic Motion? b) A simple harmonic motions is characterized by the equation x = (10 cm) sin (0.1t + ) where, x is in cm and t is in seconds Determine the i. amplitude and angular
  2. Physics

    A spring streches by 3.90 cm when a 10g mass is hung from it. If a 25g mass attached to this spring oscillates in simple harmonic motion, calculate the period of the motion?
  3. Physics

    A spring, (spring constant of 400 N/m) is displaced .75 m from its equilibrium position. An 8-kg mass is connected to the spring and it is allowed to oscillate horizontally with Simple Harmonic Motion. What is the Kinetic Energy
  4. physics

    A 0.38-kg mass attached to a spring undergoes simple harmonic motion with a period of 0.63 s. What is the force constant of the spring?
  5. physics

    a mass of 0.2kg is attached to a spring of negligible mass. if the mass executes simple harmonic motion with a period of 0.5s, what will be the spring constant?
  6. physics

    a spring stretches by 3.90 cm when a 10gm mass is hung from it. if a 25 gm mass attached to this spring oscillates in simple harmonic motion, calculate the period of the oscillation
  7. PHYSICS

    A 0.181 kg mass is attached to a spring and executes simple harmonic motion with a pe-riod of 0.21 s. The total energy of the system is 1.2 J. Find the force constant of the spring. b) Find the amplitude of the motion.
  8. Physics

    An object with mass 3.7 is attached to a spring with spring stiffness constant 270 and is executing simple harmonic motion. When the object is 2.5×10−2 from its equilibrium position, it is moving with a speed of 0.45 . what is
  9. Physics

    An object with mass 5.0 kg is attached to a spring with spring stiffness constant 192 N/m and is executing simple harmonic motion. When the object is 0.35 m from its equilibrium position, it is moving with a speed of 0.02 m/s.
  10. Physics

    An object with mass 5.0 kg is attached to a spring with spring stiffness constant 192 N/m and is executing simple harmonic motion. When the object is 0.35 m from its equilibrium position, it is moving with a speed of 0.02 m/s.

More Similar Questions