Physics

Problem

64. Suppose that an electron (charge -e) could orbit a proton (charge +e ) in a circular orbit of constant radius R . Assuming that the proton is stationary and only electrostatic forces act on the particles, which of the following represents the kinetic energy of the two-particle system? (A)

\frac{1}{4 \pi \varepsilon_{0}} \frac{e}{R}

(B)

\frac{1}{8 \pi \varepsilon_{0}} \frac{e^{2}}{R}

(C)

-\frac{1}{8 \pi \varepsilon_{0}} \frac{e^{2}}{R}

(D)

\frac{1}{4 \pi \varepsilon_{0}} \frac{e^{2}}{R^{2}}

(E)

-\frac{1}{4 \pi \varepsilon_{0}} \frac{e^{2}}{R^{2}}

(A)

\frac{1}{4 \pi \varepsilon_{0}} \frac{e}{R}

(B)

\frac{1}{8 \pi \varepsilon_{0}} \frac{e^{2}}{R}

(C)

-\frac{1}{8 \pi \varepsilon_{0}} \frac{e^{2}}{R}

(D)

\frac{1}{4 \pi \varepsilon_{0}} \frac{e^{2}}{R^{2}}

(E)

-\frac{1}{4 \pi \varepsilon_{0}} \frac{e^{2}}{R^{2}}

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