An alpha particle (?) has a rest mass m = 6.64x10-27 kg. Calculate the rest ener

Question

An alpha particle (?) has a rest mass m = 6.64x10-27 kg. Calculate the rest energy Erest. If it is moving at v = 0.800c, what is the total energy Etotal? What is the kinetic energy K of the alpha particle at this speed? Give energies in both Joule and MeV units

Explanation / Answer

From the defn of p.d. p.d.=WD/coul=Ek/coul..>Ek=1.1*E6*2e= 3.52E-13J Ek=mv^2/2..>v=rt(2*Ek/m)=1.03E7 m/s (=non relativistic!) b)F=Bxqxv (mutually orthog..so F=rt angles to v) b)F=3.9*2e*v=1.285E-11N c)particle costrained to move in circle if its vel in same plane as B (otw its a helix) centripetal force =m*v^2/r=F (from part b) >r=m*v^2/F=2*Ek/F=0.055m=5.5cm

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