The nucleus of 8 Be, which consists of 4protons and 4 neutrons, is very unstable

Question

The nucleus of 8Be, which consists of 4protons and 4 neutrons, is very unstable and spontaneously breaksinto two alpha particles (helium nuclei each consisting of 2protons and 2 neutrons). a) What is the force between the two alpha particles when theyare 6.40 x 10-15 m apart? ___ N b) What is the initial magnitude of the acceleration of thealpha particles due to this force? Note that the mass of an alphaparticle is 4.0026 u. ___ m/s2 The nucleus of 8Be, which consists of 4protons and 4 neutrons, is very unstable and spontaneously breaksinto two alpha particles (helium nuclei each consisting of 2protons and 2 neutrons). a) What is the force between the two alpha particles when theyare 6.40 x 10-15 m apart? ___ N b) What is the initial magnitude of the acceleration of thealpha particles due to this force? Note that the mass of an alphaparticle is 4.0026 u. ___ m/s2

Explanation / Answer

(a)    the electric force is given by    Fe = k (2e)2 /r2         = .........N    the gravitational force is givenby (b)    the mass of the alpha particle is    m = 4.0026 u    where u = 1.66 x 10-27 kg    then the acceleration of the alpha particlewill be    a = F / m       = ........ m /s2         = .........N    the gravitational force is givenby (b)    the mass of the alpha particle is    m = 4.0026 u    where u = 1.66 x 10-27 kg    then the acceleration of the alpha particlewill be    a = F / m       = ........ m /s2

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