A helium nucleus (mass = 6.64×10−27kg, net charge = +2e)is fired directly toward a spherical conductor on a radially inward path. The conductor, which is fixed in place, has radiusR= 0.55 m and surface charge densityσ= +12 nC/m2. If the helium nucleus is initially very far away from the conductor, then what initial speed must it be given so that it just barely avoids touching the surface of the conductor before being repelled back to infinity? Make sure to draw a voltage vs. position curve for the spherical conductor as part of your representation.

A helium nucleus (mass = 6.64×10−27kg, net charge = +2e)is fired directly toward a spherical conductor on a radially inward path. The conductor, which is fixed in place, has radiusR= 0.55 m and surface charge densityσ= +12 nC/m2. If the helium nucleus is initially very far away from the conductor, then what initial speed must it be given so that it just barely avoids touching the surface of the conductor before being repelled back to infinity? Make sure to draw a voltage vs. position curve for the spherical conductor as part of your representation.