Half-life
A half-life is the amount of time required for a quantity to fall to half its value as measured at the beginning of the time period. Suppose that a radioactive element has seconds of half-life. If this element moves with a constant velocity of km/s for seconds, as measured by an observer at a fixed spot, how much of it is left compared to the initial amount? (Assume that the velocity of light is km/s and )
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1 solution
According to the EQN of relativity, mass of body moving with speeds comparable to speed of light is given by its rest mass divided by sqrt of 1-v^2/c^2 where v is the speed of the object....Using this formula the mass is found to be twice the rest mass....and simple algebra proves the chnge to be 50%...