Coulomb’s law A particle of charge −1 is located on a coordinate line at x = −2, and a par...

Coulomb’s law A particle of charge −1 is located on a coordinate line at x = −2, and a particle of charge −2 is located at x = 2, as shown in the figure. If a particle of charge +1 is located at a position x between −2 and 2, Coulomb’s law in electrical theory asserts that the net force

F acting on this particle is given by

for some constant k > 0. Determine the position at which the net force is zero.

EXERCISE