The nucleus of 8Be, which consists of 4 protons and 4 neutrons, is very unstable
ID: 1523503 • Letter: T
Question
The nucleus of 8Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). PLEASE ANSWER BOTH PARTS AND SHOW ME EACH STEP CLEAR...I HAVE EXAM SOON and I WANNA UNDERSTAND THIS PLEASE!
A. What is the force between the two alpha particles when they are 5.32 1015 m apart? ________N
B. What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u.___________m/s2
Explanation / Answer
a)
charge on - particle is q = 2e
= 3.2*10-19C
distance between two -particle is r = 5.32 x10-15m
required force F =keq2/r2
where ke =8.99*109Nm2/C2
F = 32.5 N
b)
mass of the - particle is m = 4.0026u
= 4.0026*1.66*10-27kg
the magnitude of acceleration of the particle is
a = F/m
calculate for a = 32.5 N / 6.64*10^-27 = 4.89*10^-27 m/s2
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