Problem $23\mathrm{.}58$

$21$ of $22$

Part A

Calculate the potential energy of a system of two small spheres, one carrying a charge of $2\mathrm{.}90C$ and the other a charge of $-1\mathrm{.}50C,$ with their centers separated by a distance of $0\mathrm{.}180m.$ Assume that $U=0$ when the charges are infinitely separated.

Express your answer with the appropriate units.

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Part B

Suppose that one sphere is held in place: the other sphere, with mass $130g,$ is shot away from it What minimum initial speed would the moving sphere need to escape completely from the attraction of the fixed sphere? $($To escape, the moving sphere would have to reach a velocity of zero when it is infinitely far from the fixed sphere.$)$

Express your answer with the appropriate units.

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