Our universe has properties that are determined by the values of the fundamental

Question

Our universe has properties that are determined by the values of the fundamental physical constants, and it would be a much different place if the charge of the electron, the mass of the proton, or the speed of light were substantially different from their actual values. For instance, the speed of light is so great that the effects of relativity usually go unnoticed in everyday events. Let’s imagine an alternate universe in which the speed of light is 3 million times less than it is in our universe and see what would happen.

In the alternate universe, how fast must an object be moving for it to have a kinetic energy equal to its rest mass?

A. 86.6 m/s

B. 51.6 m/s

C. 100 m/s

D. It is not possible for the kinetic energy to be equal to the rest mass.

Explanation / Answer

Speed of light in alternate universe = (3×10^8)/(3×10^6) = 100m/s
So to have K.E. equal to rest mass, object should move with speed of light that is 100 m/s hence option (C) is correct.

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