Physics

Find the instantaneous velocity of a mass on a spring oscillating on a horizontal frictionless surface at the instant when its displacement is half of its maximum displacement x=(x_max/2). Assume the max velocity of that mass during each oscillation is v_max= 2m/s.

I know that I will have this: v = (2*pi)/T *(x_max/2) I'm having trouble because I don't have the period(T). I also don't know x_max

  1. 👍 0
  2. 👎 0
  3. 👁 21
asked by Andrea
  1. You don't need to know the period. The sum of the kinetic (1/2) M V^2 and potential energy (1/2) kX^2 is constant. When X is half the maximum value, the P.E. is 1/4 of the maximum value. That means the kinetic energy is 3/4 of its maximum value, since energy shifts from all-kinetic to all-potential.

    The maximum KE is (1/2)MV-max^2 . When it is 3/4 of that, V^2 = 3/4 V-max^2
    V = sqrt(3/2) V_max = sqrt 3 m/s

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. phy 231

    A block of mass 0.39 kg connected to a spring with spring constant 30 N/m is oscillating on a frictionless horizontal surface. Its speed as it passes through its equilibrium position is 0.5 m/s. What is the total energy of the

    asked by Andrea on March 8, 2016
  2. physics

    A 1.20 kg mass on a horizontal spring oscillates on a frictionless surface with a displacement as a function of time given by x(t) = 0.075cos(4.16t – 2.45). (Units are standard units.) a.) Find the time for one complete

    asked by Lauren on July 31, 2012
  3. science

    A 4.50 g mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end of the spring is fixed to a wall. It takes 3.6J of work to compress the spring by 13.0 cm. If the spring is compressed,

    asked by Peaches on February 5, 2015
  4. science, physics

    A block of mass 0.25 kg is connected to a spring with spring constant 35 N/m. The block is oscillating on a frictionless horizontal surface. Its speed as it passes through its equilibrium position is 1.04 m/s. What's the total

    asked by Chase on January 8, 2013
  5. Physics,

    A block of mass 0.25 kg is connected to a spring with spring constant 35 N/m. The block is oscillating on a frictionless horizontal surface. Its speed as it passes through its equilibrium position is 1.04 m/s. What's the total

    asked by Oly on January 8, 2013
  6. physics

    A physics student pulls a block of mass m = 23 kg up an incline at a slow constant velocity for a distance of d = 4 m. The incline makes an angle q = 25° with the horizontal. The coefficient of kinetic friction between the block

    asked by Mel on March 11, 2012
  7. PHYSICS/MATH

    A mass and spring are arranged on a horizontal, frictionless table. The spring constant is k = 450 N/m, and the mass is 5.4 kg. The block is pushed against the spring so that the spring is compressed an amount 0.35 m, and then it

    asked by HP on April 12, 2013
  8. Physics

    A mass and spring are arranged on a horizontal, frictionless table as shown in the figure below. The spring constant is k = 480 N/m, and the mass is 4.8 kg. The block is pushed against the spring so that the spring is compressed

    asked by Tarra on February 23, 2012
  9. Physics

    A 4.36 kg block free to move on a horizontal, frictionless surface is attached to one end of a light horizontal spring. The other end of the spring is fixed. The spring is compressed 0.144 m from equilibrium and is then released.

    asked by Alex on October 22, 2015
  10. Physics

    A block of mass M=6 kg and initial velocity v=0.8m/s slides on a frictionless horizontal surface and collides with a relaxed spring of unknown spring constant. The other end of the spring is attached to a wall. If the maximum

    asked by Helena Beau on July 21, 2013

More Similar Questions