Assume that a ball of charged particles has a uniformly distributed negative charge density except for a narrow radial tunnel through its center, from the surface on one side to the surface on the opposite side. Also assume that we can position a proton anywhere along the tunnel or outside the ball. Let FR be the magnitude of the electrostatic force on the proton when it is located at the ball's surface, at radius R. As a multiple of R, how far from the surface is there a point where the force magnitude is 0.52FR if we move the proton (a) away from the ball and (b) into the tunnel? (a) Number i (b) Number i Units Units

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Assume that a ball of charged particles has a uniformly distributed negative charge density
except for a narrow radial tunnel through its center, from the surface on one side to the
surface on the opposite side. Also assume that we can position a proton anywhere along the
tunnel or outside the ball. Let FR be the magnitude of the electrostatic force on the proton
when it is located at the ball's surface, at radius R. As a multiple of R, how far from the surface
is there a point where the force magnitude is 0.52FR if we move the proton (a) away from the
ball and (b) into the tunnel?
(a) Number i
(b) Number
i
Units
Units
Transcribed Image Text:Assume that a ball of charged particles has a uniformly distributed negative charge density except for a narrow radial tunnel through its center, from the surface on one side to the surface on the opposite side. Also assume that we can position a proton anywhere along the tunnel or outside the ball. Let FR be the magnitude of the electrostatic force on the proton when it is located at the ball's surface, at radius R. As a multiple of R, how far from the surface is there a point where the force magnitude is 0.52FR if we move the proton (a) away from the ball and (b) into the tunnel? (a) Number i (b) Number i Units Units
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