Work and energy in simple harmonic motion concept

[**Mariam**]

Homework Statement

Is the statement cirrect: "the rate at which a wave transfers energy depends on the amplitude at which the particles of the medium are vibrating."

And does the energy=A^2 ?

Homework Equations

E (proportional) A^2

The Attempt at a Solution

For the statement I am about confused, because I think that the rate mentioned refers to velocity of the wave and that's constant (in a given medium and temperature). I also believe that the higher the amplitude the more energy the wave will carry but how will that affect rate of energy transferred?

For the second question, I think that the equation should be E=(1/2)k*A^2

(Where A is max displacement or amplitude)

Thanks :)

 

[ogg]

dA/dt = kA...right? this answers the first question. The second question is lots more ambiguous. When EVER you have an equation of the form A = bC, you can ALWAYS pick UNITS such that A' = C'. (These units are almost NEVER standard SI (or any other official) units). So, the second answer is "maybe" ...my answer would be "no, not unless you choose units in which k was 1 (unitless)"...but that's an advanced position for a beginning student to take.