What Is the Speed of a Mass Displaced from Equilibrium on a Spring?

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Homework Help Overview

The problem involves a mass-spring system where a mass is displaced from its equilibrium position and the speed of the mass at a specific displacement is being calculated. The subject area pertains to dynamics and oscillatory motion.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of angular frequency and the equation for velocity in harmonic motion. There is uncertainty regarding the amplitude and the correct application of energy conservation principles.

Discussion Status

Some participants have provided various speed values they calculated, indicating a lack of agreement on the correct answer. There is a suggestion to consider energy conservation as a potential approach, which may guide further exploration.

Contextual Notes

Participants express confusion over the amplitude and the correct setup of the equations involved in the problem. There is a mention of specific values for mass and spring constant, but the overall context remains focused on the calculation of speed at a given displacement.

nlkush
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Homework Statement



A 0.340kg- mass is attached to a spring with a force constant of 13.0 N/m.
If the mass is displaced 0.250m from equilibrium and released, what is its speed when it is 0.140m from equilibrium?
in m/s
for some reason cannot get the correct answer.
 
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Show what you did.
 
omega=square roote of k\m
T=1.47
k=13.0
not sure of amplitude
eqn v=-Aomega*sin(omegat)
 
answers were like 0.87 m/s 0.5981m/s
1.54m\s
i cannot seem to get it correct
 
Why don't you use energy conservation.
 

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