Assuming that the second proton is fixed in place
Delphi51 said:The proton is moving initially so it has kinetic energy.
You must think about what energy change takes place as it is repelled by the other proton. The calculation itself will be easy.
Delphi51 said:It lost kinetic energy. But energy is conserved; it must have changed into some other kind of energy. It is the energy due to electric charges being near each other and is called electric potential energy. It depends on the distance between charges.
Write "initial kinetic energy = electric potential energy when stopped"
Put in the detailed formulas for both types of energy. Wikipedia has the potential energy one here: http://en.wikipedia.org/wiki/Electric_potential_energy
Then you can solve for the distance between charges.
Delphi51 said:Your calc looks okay but I don't get the same answer.
The elementary charge IS 1.6 x 10^-19, so you should not have got a different answer that way!
You know, it is much easier to solve the equation before putting the numbers in - just easier to manipulate letters than lengthy numbers.
k*e²/R = ½m⋅v²
R = 2k*e²/(m⋅v²)
Putting in the numbers at this stage, I get an answer in nanometers.
The "Proton collision problem" refers to the issue of understanding and predicting the behavior of protons when they collide with each other at high energies, such as in particle accelerators. This is a fundamental problem in the field of particle physics.
The study of proton collisions allows us to gain insight into the fundamental building blocks of matter and the fundamental forces that govern their interactions. This knowledge can help us understand the origins and evolution of the universe.
The main challenge of studying the "Proton collision problem" is the complexity of the interactions between protons at high energies. These collisions produce a wide range of particles and phenomena, making it difficult to accurately measure and interpret the data.
Scientists study the "Proton collision problem" by conducting experiments at large particle accelerators, such as the Large Hadron Collider (LHC) at CERN. These experiments involve accelerating protons to high energies and observing the particles and energy produced when they collide.
Understanding the "Proton collision problem" has many potential applications, including advancements in medical imaging, development of new technologies, and a deeper understanding of the universe. Additionally, it can also contribute to the development of new theories and models in particle physics.