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Electrostatics problem with energy

  1. Jul 17, 2014 #1
    At what minimum distance can a particle 4α2, with kinetic energi Ec=4.77MeV, approach to a radium core 226Ra88.

    This is how I solved it:
    From energy conservation: ΔEc+ΔEp=0

    Ec=[(Z1*Z2*e2)/(4*∏*ε)]*(1/r2-1/r1)

    r2=1/[1/r1+4*∏*ε*Ec/(Z1*Z2*e2)] (1)

    dr2/dr1=0 ⇔ r1→∞ (2)

    From (1) and (2) ⇔ r2=1/[4*∏*ε*Ec/(Z1*Z2*e2)]

    Now the problem is that in the book the correct answer is half of mine. Can someone help me to understand why?
     
  2. jcsd
  3. Jul 17, 2014 #2

    Simon Bridge

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