Final answer:
The net electromagnetic force on the electron is 3.52x10^-15 N i^ + 0.1936x10^-10 N m/s j^.
Step-by-step explanation:
The net electromagnetic force on an electron can be calculated by converting its velocity and the electric and magnetic fields into vectors and using the formula F = q(E + v x B), where F is the force, q is the charge of the electron, E is the electric field vector, v is the velocity vector, and B is the magnetic field vector.
In this case, the velocity vector of the electron is given as v = 8.60x10^4 m/s i^, the electric field vector is given as E = 2200 N/C i^ + 5600 N/C k^, and the magnetic field vector is given as B = 0.140 T k^.
Plugging these values into the formula, we have:
F = q(E + v x B)
= (1.6x10^-19 C)(2200 N/C i^ + 5600 N/C k^ + (8.60x10^4 m/s i^ x 0.140 T k^)
= (1.6x10^-19 C)(2200 N/C i^ + 0.140x8.60x10^4 N/C m/s j^)
= (1.6x10^-19 C)(2200 N/C i^ + 0.140x8.60x10^4 N/C m/s j^)
= (3.52x10^-15 N i^ + 0.1936x10^-10 N m/s j^)
Therefore, the net electromagnetic force on the electron is 3.52x10^-15 N i^ + 0.1936x10^-10 N m/s j^.