Two protons are separated by a distance R. What will be the speed of each proton when they reach infinity under their mutual repulsion?

Explanation

To find the speed of each proton when they reach infinity under their mutual repulsion, we can use the principles of conservation of energy and conservation of momentum. Here’s a step-by-step solution:

### Step 1: Understand the system
We have two protons, each with charge \( +e \), separated by a distance \( R \). They will repel each other due to their like charges.

### Step 2: Initial conditions
Initially, the protons are at rest, so their initial kinetic energy is zero. The only energy present is the electrostatic potential energy due to their separation.

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