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If a photon hits a 'perfect' mirror (with no environment interference) would the mirror move a bit?

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If a photon hits a perfect mirror that is fixed and rigid would the photon 'rebound' faster than if the mirror was not fixed? –  user128932 Jun 13 at 18:14
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up vote 9 down vote accepted

Yes. Actually photons exert pressure on any surfaces exposed to them. For example, photons emitted by the Sun exert pressure of $9.08 \mu N/m^2$ on the Earth.

Reference: https://en.wikipedia.org/wiki/Radiation_pressure

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How much acceleration would that be, for example for a 1×1 meter square object with a mass of 1 gram in meters per second square? –  user1306322 Apr 12 at 11:45
    
@user1306322: Just use good old F=ma and of course force = pressure * area to work it out. –  Chris Apr 12 at 13:41
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$a=\frac{F}{m}=\frac{9.08\mu N}{1g}=9.08\times 10^{-3} m/s$. That's a quite small acceleration so in order to build a practical spaceship powered by solar radiation, we need a quite large solar sail. In addition, this estimate doesn't consider solar wind but that's several orders of magnitude weaker. –  Guo Qianyi Apr 12 at 14:43
    
Does a photon exerting pressure cause the photon itself to loose some energy in some fashion? Is any of the energy of a photon hitting a surface absorbed by the surface and if so does this deplete some of the photons energy? Is all the energy of a photon independent of its movements? –  user128932 Apr 15 at 6:08
    
See en.wikipedia.org/wiki/… –  Guo Qianyi Apr 15 at 9:13
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Yes - you can even propel spaceships with it - Solar Sail

Although Solar radiation pressure at the Earth is around 9E-6N/m2 while the thrust from a Saturn V rocket is 34 MN, so you would need a solar sail something like 2000Km on a side to get the same acceleration

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