(Solved): please imclude the sketch  Tutorial Question 4: The proton radius puzzle is an unanswered probl ...

Tutorial Question 4: The proton radius puzzle is an unanswered problem in physics relating to the size of the proton. Historically the proton charge radius was measured by two independent methods, which converged to a value of about \( 0.877 \mathrm{fm} \). This value was challenged by a 2010 experiment using a third method, which produced a radius about \( 4 \% \) smaller than this, at \( 0.842 \mathrm{fm} \). New experimental results reported in the fall of 2019 agree with the smaller measurement, and it has been proposed that the puzzle is now solved, though this opinion is not yot universally held. This type of data is crucial as we move close and closer to achieving fusion - a star on Earth. Fusion probability is greatly enhanced when appropriate nuclei are brought close together, but mutual Coulomb repulsion must be overcome. This can be done using the kinetic energy of high-temperature gas lons or by accelerating the nuclei toward one another. If two hydrogen nuclel are 200pm apart and are then moved closer together till they are \( 15 \mathrm{fm} \) apart - here strong nuclear force is negligible compared to electrostatic repulsion. 1) How much energy is required for this? 2) How fast will the protons be moving at their original positions if they are released when at \( 15 \mathrm{fm} \) ?