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I would have thought it would have been the same. x amount of energy converts to x amount of kinetic energy.
You do but you used the same amount of energy in the first place to generate the photons.I imagine you probably used a little more as the photons carry away a certain amount of energy.
Yeah, you can use photons as an engine: http://en.wikipedia.org/wiki/Photon_rocketThe drawback is that creating photons and getting them all to go in the right direction is difficult.