how photons have momentum but they don't have mass
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The answer is then definitely "no": the photon is a massless particle. According to theory it has energy and momentum but no mass, and this is confirmed by experiment to within strict limits. ... They also say that a photon has momentum, and momentum p is related to mass m by p = mv.
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Light indeed carries energy via its momentum despite having no mass. ... In contrast, for a particle with no mass (m = 0), the general equation reduces down to E = pc. Since photons (particles of light) have no mass, they must obey E = pc and therefore get all of their energy from their momentum.
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