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The energy of a cosmic ray is given by ,where m is the mass of the particle,c is the speed of light,and is the Lorentz factor and
.If a cosmic ray proton is traveling at a speed of
,what is its energy? How does that compare to the kinetic energy of a grape thrown up in the air and caught in your mouth? Assume the grape has a mass of about 5 grams and a speed of 0.5 m/s when you catch it.The mass of a proton is
.
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