Newton's kinetic energy vs Planck's Energy?

[lenfromkits]

Formula for energy:

E = hv (where v=frequency; h=Planck's constant)

and

E= 1/2mv² (New's kinetic energy).

How are these two formulas related? For starters, according to Newton, energy here increases exponentially to velocity, yet for Planck, the increase is linear to the frequency (which in a way is like velocity if you consider that the frequency increases 1:1 with velocity when doppler shifted).

I can't see the real connection between these two formulas. Is there a way to convert between them?

Thanks.

 

[FoxCommander]

Well you have to understand the Plancks fromula is for photons. Where as Newtons formula is for objects. Next part is that yes velocity is the most determining factor in Newtons law but Photon travel at the speed of light which is constant. It does not ever change even if its doppler shifted. when an a light wave is doppler shifted its frequency changes.

As far as the connection? You can connect the two some how to find the rest mass of a photon... I think...
Another connection is the Photoelectric affect. Where you can calculate the energy of the photon by adding the Kinetic energy of the Electron and its bond energy, which will be equal to E=hv.

Hope that makes sense,
Fox