Respuesta :

AL2006
The problem should only have one part to it, but this one has two.
Before I can do the mass/energy conversion, I have to go and
look up the proton mass for myself ... go out and collect the straw
to make my bricks, as it were.  As if the fabulous bounty of 7 points
makes it worth it.  They make us do everything around here.

OK.  In my Physics book⁽¹⁾, the proton rest mass is

                       1.67 x 10⁻²⁷  kg.

The formula that relates mass to the equivalent energy is

                        E = m c²  .

The method of applying the formula is known as "plug in what you know",
as follows:

                       E  =  (mass) x (speed of light)²

                          =  (1.67 x 10⁻²⁷ kg) x (3 x 10⁸ m/s)²

                         =  (1.67 X 10⁻²⁷ Kg) x (9 x 10¹⁶ m²/s²) 

                          =        (1.5 x 10⁻¹⁰)  (kg-m²/s²)

                          =            1.5 x 10⁻¹⁰  joule .                           
____________________________________

⁽¹⁾  Halliday, David and Resnick, Robert, Physics , John Wiley & Sons,
Inc., 1960,  inside front cover, "SELECTED PHYSICAL CONSTANTS".

The energy equivalent in joules of the mass of a proton will be 1.5 x 10⁻¹⁰  joule.    

What is mass-energy equivalence?

According to mass-energy equivalence, all objects with mass, or enormous objects, have corresponding inherent energy, even if they are immobile.

The formula for converting mass to equivalent energy is:

E = m c².

Where,

Equivalent energy is, E=?

Mass of the atom(proton)=(1.67 x 10⁻²⁷ kg)

Speed of light is,C= 3 x 10⁸ m/s

Substitute the values;

E =  (mass) x (speed of light)²

E =  (1.67 x 10⁻²⁷ kg) x (3 x 10⁸ m/s)²

E =  (1.67 X 10⁻²⁷ Kg) x (9 x 10¹⁶ m²/s²)

E  =(1.5 x 10⁻¹⁰)  (kg-m²/s²)

E= 1.5 x 10⁻¹⁰  joule    

Hence, the energy equivalent in joules of the mass of a proton will be 1.5 x 10⁻¹⁰  joule.    

To learn more about the mass-energy equivalence refer to:

https://brainly.com/question/1713942

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