(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Seems pretty strightforward:

[tex]\hbar c = Gm^2[/tex]

multiply both sides by [tex]c^4[/tex]

[tex]\hbar c^5 = Gm^2c^4[/tex]

knowing that [tex]m^2c^4[/tex] is [tex]E^2=(\hbar \omega)^2[/tex] then

[tex]\hbar c^5 = G\hbar^2 \omega^2[/tex]

dividing [tex]\hbar^2[/tex] off both sides

[tex]\frac{c^5}{\hbar}=G\omega^2[/tex]

then this is the same as

[tex]\frac{c^5}{\hbar}=G\frac{k}{m}[/tex]

because [tex]\omega^2 = \frac{k}{m}[/tex] so multiplying [tex]m[/tex] on both sides gives

[tex]\frac{c^5}{\hbar}m=Gk[/tex]

Then finally multiplying [tex]\hbar[/tex] on both sides gives you

[tex]\frac{c^5}{\hbar}m \hbar=Gk\hbar[/tex]

Has there been anything wrong in this so far?

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# Homework Help: Is this ok?

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