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91Ó°ÊÓ

In the alternate universe, how fast must an object be moving for it to have a kinetic energy equal to its rest mass?
(a) 225m/s; (b) 260m/s; (c) 300m/s; (d) The kinetic energycould not be equal to the rest mass

Short Answer

Expert verified

The speed of the object is 260m/s .

Step by step solution

01

Important Concepts

Rest energy of an object is given by

E=mc2

Where m is the rest mass and c is speed of light.

02

Application

The rest energy of the object is given by

E=mc2

Where c is the speed of light in alternate universe.

Let the speed of the particle be

Equating the kinetic energies in the two universes we get

K=γ-1mu2=mc2γ=11-u2c2

We knowγ=2 so rearranging,

u=c1-1γ2

Input values,we get

u=300m/s1-14u=260m/s

Therefore, The speed of the object is 260 m/s .Hence, B is the correct option.

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