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The total energy of an object is the sum of its rest mass energy, kinetic energy if its moving, and potential energy if it is under some force.The total relativistic energy of an object moving at constant velocity will be expressed as

$E=纬m{c}^2$

Where, $纬$is the Lorentz factor, and m, is the rest mass of the object. Here in the question, it is asked to use the best value for the proton鈥檚 mass$1.672621637脳{10}^{-27}kg$.

Inserting these values in the above equation to get$纬$,

$$\begin{gathered} 10.611脳{10}^{-9}J=纬\left(1.672621637脳{10}^{-27}kg\right){\left(3脳{10}^{8}m/s\right)}^2 \\ 10.611脳{10}^{-9}J=纬\left(\text{1.505359473}脳{\text{10}}^{-11}kg{m}^2/s^2\right) \\ 纬=\frac{10.611脳{10}^{-9}}{\text{1.505359473}脳{\text{10}}^{-11}} \\ 鈮�\text{7.048814712} \end{gathered}$$

The result of 2^nd postulate of the special theory of relativity is that the clocks run slower for a moving object when measured from a rest frame. The factor by which the clock is running differently is called the Lorentz factor.

The expression for Lorentz factor is

$纬=\frac{1}{\sqrt{1-{尾}^2}}$

Here $尾$is the speed parameter$v/c$. Inserting the value of the Lorentz factor in this expression

$$\begin{gathered} 纬=\frac{1}{\sqrt{1-{尾}^2}} \\ 尾=\sqrt{1-\frac{1}{{纬}^2}} \\ =\sqrt{1-\frac{1}{{\left(7.048814712\right)}^2}} \\ =\text{0.989885609}6 \end{gathered}$$

The speed parameter thus obtained up to 10 significant values because the best value of proton鈥檚 mass is given in 10 significant values is asked to be considered.