A helium nucleus (mass = 6.64 × 10-27 kg, net charge = +2e) is fired directly toward a spherical conductor on a radially inward path. The conductor, which is fixed in place, has radius R = 0.55 m and surface charge density o = +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.

Question
A helium nucleus (mass = 6.64 × 10-27 kg, net charge = +2e)
is fired directly toward a spherical conductor on a radially
inward path. The conductor, which is fixed in place, has radius
R = 0.55 m and surface charge density o = +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.
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Transcribed Image Text

A helium nucleus (mass = 6.64 × 10-27 kg, net charge = +2e) is fired directly toward a spherical conductor on a radially inward path. The conductor, which is fixed in place, has radius R = 0.55 m and surface charge density o = +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.

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