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The potential difference must be such that the work of the electric field is equal to the change in the kinetic energy of the electron.�
Since 1 km / s is 300 thousand times less than the speed of light, relativistic corrections can be ignored. The kinetic energy was zero and became mv2 / 2.
The field work (also known as the change in the potential energy of an electron) is eU.�
Hence, the potential difference U=mv2/2e. The charge and mass (rest mass) of an electron can be found in the reference book, or you can search on the Internet.