Total energy:

$\overline{){\mathbf{E}}{\mathbf{=}}{\mathbf{m}}{{\mathbf{c}}}^{{\mathbf{2}}}{\mathbf{+}}{\mathbf{K}}{\mathbf{.}}{\mathbf{E}}}$

Kinetic energy, K.E:

K.E = E - mc^{2}

But, E = 4.00 (mc^{2})

K.E = 4.00 (mc^{2}) - mc^{2} = 3.00 mc^{2}

m = *m*=1.67×10^{−27}kg, c = 3.0 ×10^{8} m/s

A proton (with a rest mass *m*=1.67×10^{−27} kg) has a total energy that is 4.00 times its rest energy.

a. What is the kinetic energy *E*_{k} of the proton? Express your answer in billions of electron volts to three significant figures.

b. What is the magnitude of the momentum *p* of the proton? Express your answer in kilogram-meters per second to three significant figures.

c. What is the speed *v* of the proton? Express your answer as a fraction of the speed of light to four significant figures.

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