Physics - SHM

An oscillating block-spring system has a mechanical energy of 1.00 J, an amplitude of 11.2 cm, and a maximum speed of 1.08 m/s.
(a) Find the spring constant.
___ N/m
(b) Find the mass of the block.
___ kg
(c) Find the frequency of oscillation.
___ Hz

.. im having difficulty finding the spring constant and the mass.

my answer for (c) is 1.51 Hz

i tried to find the velocity w through this equation with the maximum speed given:
v = wx
1.08 m/s = (w)(0.112m)
w = 9.64 rad/s

and to find the frequency:
f = w/2pi
f = (9.64 rad/s)/(2pi)
f = 1.51 Hz

.. and now im stuck.
the angular frequency has the mass m and the spring constant k that i need.
w = sqrt(k/m) = 9.64 rad/s

please help me find the mass & the spring constant?! thanks :)



This is about as messed up as possible. First, you said you tried to find velocity w with v=wx. Where did you get that?

To start, you know max displacement A.

Max PE= 1/2 k A^2

But you know the max PE (max energy), so solve for k.

Then, knowing the max KE (msx energy), solve for mass from 1/2 mv^2 equaling max energy.

Finally, maxvelocity= wA, solve for w, angular frequency.

http://hyperphysics.phy-astr.gsu.edu/hbase/shm.html

  1. 👍 0
  2. 👎 0
  3. 👁 143
asked by COFFEE

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics! Please help me!

    An oscillating block-spring system has a mechanical energy of 5.1 J, an amplitude of 0.81 m, and a maximum speed 1.6 m/s. Find the spring constant k of the spring. What is the mass of the block? What is the frequency of

    asked by Chelsea on April 24, 2013
  2. physics

    A spring and mass system are oscillating with an amplitude of 5.4 cm. The spring constant is 166 N/m and the mass is 540 g. Find the mechanical energy of the system

    asked by diana on November 8, 2015
  3. physics

    A spring and mass system are oscillating with an amplitude of 8.4 cm. The spring constant is 204 N/m and the mass is 540 g. Find the mechanical energy of the system to 2 sf.

    asked by jake on June 15, 2014
  4. physics

    Q.1.Find the total mechanical energy in one time period? my sir says that it is (1/2)mw^2A^2 but according to me it should be 1/4mw^2A^2.How? Q.2.The total mechnical energy of a spring mass system in SHM is E =

    asked by anonymous on December 25, 2009
  5. Physics

    A block has mass 800 g, whose is fasten to a spring with spring constant k is 70 N/m. The block is pulled a distance x = 15 cm from its equilibrium position at x = 0 on a frictionless surface and released from rest at t = 0. (a)

    asked by Dia on December 18, 2011
  6. Physics

    Find the mechanical energy of a block-spring system having a spring constant of 0.93 N/cm and an oscillation amplitude of 4.2 cm.

    asked by Javan on December 5, 2011
  7. Physics

    An ideal spring with a stiffness of 329 N/m is attached to a wall, and its other end is attached to a block that has a mass of 15.0 kg. The spring/block system is then stretched away from the spring's relaxed position until 57.0 J

    asked by John on December 4, 2009
  8. physics

    A damped mass-spring system oscillates at 190 Hz. The time constant of the system is 2.0 s. At t = 0, the amplitude of oscillation is 6.5 cm and the energy of the oscillating system is then 65 J. (a) What is the amplitude of

    asked by Sierra on January 31, 2011
  9. physics

    Damped mass spring system oscillates at 205 Hz. The time constant of the system is 6.6s. At t=0 the amplitude of oscillation is 4.7 cm and the energy of the oscillating system is 26J. What is the amplitude of oscillation at

    asked by eric on April 19, 2010
  10. physics

    A simple harmonic oscillator consists of a 1.1 kg block attached to a spring (k = 180 N/m). The block slides on a horizontal frictionless surface about the equilibrium point x = 0 with a total mechanical energy of 3.0 J. (a) What

    asked by kylie on January 9, 2011
  11. physics

    A simple harmonic oscillator consists of a 1.1 kg block attached to a spring (k = 180 N/m). The block slides on a horizontal frictionless surface about the equilibrium point x = 0 with a total mechanical energy of 3.0 J. (a) What

    asked by Anonymous on January 9, 2011

More Similar Questions