An atomic nucleus with a rest mass energy of 7134 mev is accelerated to 99.217% the speed of light relative to the lab frame. what is the kinetic energy in mev of the atomic nucleus in the lab frame? assume 4 significant figures.

4.999 × 10⁴ MeV

Explanation:

Kinetic energy is related to the rest energy by the Lorentz transformation equation as shown below.

Kinetic energy in the lab frame K= ( γ -1 ) Eo

The Lorentz constant γ =

So γ =  = 8.0067

⇒ K = (8.0067-1)(7134) = 49986 MeV

                                       =49,999 MeV ( 4 significant figures)

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