An atom is made of positiwly charged protons and neutral neutrons concentrated i

Question

An atom is made of positiwly charged protons and neutral neutrons concentrated in a nucleus. while negatively charged electrons orbit around them. If I want to make a Helium atoo out of two Hydrogen atoms. I am going to haw to haw to get 2 Hydrogen atoms wry close together so that they ran form a new nucleus. This is a process called nuclear fusion, and it take a lot of energy. If. in order for this to happen. I haw to bring the two protons to within 10^15 m. How much energy does it take to bring this second proton from wry far away to 10^15 m from the first proton? With how much speed would I haves to shoot this proton toward the first in order for it to make it? Is that speed faster than or slower than the speed of light?

Explanation / Answer

a.)

Energy required to bring prton = Change in potential energy of system

E = KQ/R = 9*10^9 * 1.6*10^-19 *1.6*10^-19/ 10^-15 = 2.304*10^-13 J

b.) KE = Change in potential energy

0.5mv^2 = 2.304*10^-13 J

v = 1.67*10^7 m/s

c.) slower to the speed of light

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