1. Questions

Physics

A 0.50-kg mass at the end of a spring vibrates 3.0 times per second with an amplitude of 0.15 m. Determine (a) the velocity when it passes the equilibrium point, (b) the velocity when it is 0.10 m from equilibrium, (c) the total energy of the system, and (d) the equation describing the motion of the mass, assuming that at t = 0, x was a maximum.

  1. 👍
  2. 👎
  3. 👁
Amber

  1. Here some facts about simple harmonic motion to help you answer these yourself.
    (a) The angular frequency is w = 2 pi f radians per second.
    Tha maximum velocity is w A, where a is the amplitude.
    The spring constant k is related to w and M by
    w = sqrt(k/m)
    Compute w. You will need it later.

    (b) 0.10 m is 2/3 of the maximum deflection. Potential energy is proportion do the square of deflection, and will be (2/3)^2 = 4/9 of the maximum energy, or
    (4/9)*(1/2)*k*(Amplitude)^2. The velocity will be (5/9) of the maxiomum energy. Use that to solve for velocity.
    (c) I already mentioned that the toal energy is (1/2)*k*(Amplitude)^2
    (d) X = A cos wt

    1. 👍
    2. 👎
    drwls

  2. (a) 2,83ms (b) 2,11ms (c) 2,00j (d) x=acoswt .

    1. 👍
    2. 👎
    Mlungisi

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics Spring

    A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. 1.0 J of work is required to compress the spring by 0.12 m. If the mass is released from rest with the

  2. physics

    A spring with k = 53 N/m hangs vertically next to the 15 cm mark on the ruler. If a 2.5 kg mass is now attached to the end of the spring, where will the end of the spring line up with the ruler marks

  3. physics

    A mass m at the end of a spring vibrates with a frequency of 0.87 Hz. When an additional 602 g mass is added to m, the frequency is 0.59 Hz. What is the value of m?

  4. Physics

    A 5.00-kg object is attached to one end of a horizontal spring that has a negligible mass and a spring constant of 420 N/m. The other end of the spring is fixed to a wall. The spring is compressed by 10.0 cm from its equilibrium

  1. Physics

    A spring with a cart at its end vibrates at frequency 8.5Hz. 1.Determine the period of vibration 2.Determine the frequency if the cart's mass is doubled while the spring constant remains unchanged. 3.Determine the frequency if the

  2. 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

  3. Physics

    A spring force constant 210 N/m vibrates with an amplitude of 28.0 cm when .250 kg hangs from it. What is the equation describing this motion as a function of time? Assume that the mass passes through the equilibrium point with

  4. physics

    a 500-g mass is attached to the end of an initially unstretched vertical spring for which k=30 n/m. the mass is then released, so that it falls and stretches the spring. how far will it fall before stopping? (the PEg lost by the

  1. Physics Mechanics

    Particle A and particle B are held together with a compressed spring between them. When they are released, the spring pushes them apart, and they then fly off in opposite directions, free of the spring. The mass of A is 3.00 times

  2. math

    A steel strip, clamped at one end, vibrates with a frequency of 20 Hz and a amplitude of 5 mm at the free end, where a small mass of 2 g is positioned. Find (i) the velocity of the end when passing through the zero position, (ii)

  3. Physics

    A spring with 50 N/m hangs vertically next to a ruler. The end of the spring is next to the 21-cm mark on the ruler.If a 2.5-kg mass is now attached to the end of the spring, where will the end of the spring line up with the ruler

  4. physics

    Janet wants to find the spring constant of a given spring, so she hangs the spring vertically and attaches a 0.42 kg mass to the spring's other end. If the spring stretches 4.0 cm from its equilibrium position, what is the spring

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