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A 9-V battery has an electric potential difference of 9 V9\text{ V} between the positive and negative terminals. How much kinetic energy in J would an electron gain if it moved from the negative terminal to the positive one?

Details and Assumptions:

  • The charge on the electron is 1.6×1019 C-1.6 \times 10^{-19}~\mbox{C}.
  • You may assume energy is conserved (so no drag or energy loss due to resistance for the electron).

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