Question

Two protons that are very far apart are hurled straight at each other, each with an initial kinetic energy of 0.19 mev, where 1 mega electron volt is equal to 1multiply106 multiply (1.6multiply10-19) joules. what is the separation of the protons from each other when they momentarily come to a stop?

Answer 1

When the potential energy of the electric force would be equal to the initial kinetic energy it will come to a break. The electric potential energy is denoted as q1*q2 / 4π*e0*x, while the kinetic energy is 2*0.17MeV. 
1 eV = 1.6*10^-19 J
The energy at distance x is equal to (qe^2 / 4π*e0) / x = 1.438*10^-9 eV*m / x 
x = 1.438*10^-9 / 0.34*10^6 
x = 4.229*10^-15 m

Answer 2

The electric potential energy of the system depends and the magnitude of the charge at protons and separation them. The separation between protons is $4.125 \times 10^{-25} \;\rm m$.

What is electric potential energy?

Electric potential energy is defined as the energy required to move a charge against an electric field.

Given that two protons are very far apart from each other having the initial kinetic energy of 0.19 meV.

The electric potential energy of the system is given below.

$E = \dfrac {q_1q_2 }{4\pi \epsilon_0 d}$

Where q1 and q2 are the charges at protons and d is the separation between them. $\epsilon_0$ is the permittivity of free space.

$E = \dfrac {(1.67 \times 10^{-27})^2}{4\times 3.14 \times 8.85\times 10^{-12}d}$

$E = \dfrac{2.508 \times 10^{-44}}{d}$

The kinetic energy of the system is given below.

$KE = 2\times 0.19 \;\rm meV$

Given that

$1 \;\rm eV = 1.6\times 10^{-19} \;\rm J$

So, $KE = 2\times 0.19 \times 1.6 \times 10^{-19}$

$KE = 6.08 \times 10^{-20} \;\rm J$

The electric force between the protons due to potential energy of the would-be equal to the initial kinetic energy of the system, it will come to a break.

$E = KE$

$\dfrac{2.508\times 10^{-44}}{d} = 6.08\times 10^{-20}$

$d = 4.125 \times 10^{-25} \;\rm m$

Hence we can conclude that the separation between protons is $4.125 \times 10^{-25} \;\rm m$.

To know more about electric potential energy, follow the link given below.

https://brainly.com/question/13003272.