Physics: The nucleus of 8be, which consists of 4 protons and 4 neutrons, isvery unstable and spontaneously breaks into two alpha particles(helium nuclei, each consisting of 2 protons and 2 neutrons). (a)what is the force between the two alpha particles when they are5.00 x 10-15m apart, and (b) what will be the magnitudeof the acceleration of the alpha particles due to this force? notethat the mass of an alpha particle is 4.0026 u.

The nucleus of 8be, which consists of 4 protons - id844503255, cherylmorton7302

reginaldboyd28

14.01.2022

36.82304 N

$5.54204\times 10^{27}\ m/s^2$

Explanation:

k = Coulomb's constant = $8.99\times 10^9\ Nm^2/C^2$

e = Charge of electron = $1.6\times 10^{-19}\ C$

m = Mass of alpha particles = $4.0026\times 1.66\times 10^{-27}\ kg$

Charge on alpha particle is given by

q=2e

The force is given by

$F=\dfrac{kq^2}{r^2}\\\Rightarrow F=\dfrac{8.99\times 10^9\times (2\times 1.6\times 10^{-19})^2}{(5\times 10^{-15})^2}\\\Rightarrow F=36.82304\ N$

The force between the two alpha particles are 36.82304 N

Acceleration is given by

$a=\dfrac{F}{m}\\\Rightarrow a=\dfrac{36.82304}{4.0026\times 1.66\times 10^{-27}}\\\Rightarrow a=5.54204\times 10^{27}\ m/s^2$

Magnitude of the acceleration of the alpha particles due to this force is given by $5.54204\times 10^{27}\ m/s^2$

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