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Problem 5: The rest mass of proton is 1.673 × 10-27 kg. At what speed would the mass of proton would be tripled?

Solution

Explanation: Mass increases when a body is moving with extremely high velocity comparable to the velocity of light (relativistic velocity). The relation, according to Einstein theory of relativity, is given by,

Where m0 is the rest mass, v is the relativistic velocity and c is the speed of light.

Given

Mass of the proton, m0 = 1.673 × 10-27 kg
c = 3 × 108 m/s
Relativistic mass, m = 3m0

Asked: Relativistic velocity, v

Now from the given formula,

Put the values

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