For the Mass capacity of the Jumper, the simplistic calculation, but not correct one, it's the ratio that is important:
Mass cable = (Rayon(space) – Rayon(ground)) * Cable weight density
Tension capacity = Tension(Max) – Mass cable * 1.62 m/s²
And: where μ = 4.9049 E12 m³/s²
ELECTRICAL PROBLEM
With the length of 3,500 km, this cable won't be allowed to transport electricity. The voltage drop is bearable only for less than 200 km cable. Not only for the delta voltage between the cable that could cause problem, but certainly for the energy cost that will make the project a lot less profitable beside the rocket possibility.
For the electrical cable possibility, the voltage drop could be calculate with this formula: 2 * Distance * resistance per unit of length * Intensity of current * 0.866 = Voltage drop. With this possibility, we could use four cable, one for the lifting, and three for the power.
For the spooler possibility, the power doesn't need to be displace along the cable, but there are some disadvantages. We could, to prevent changes in speed of the system in orbit, build a pair of spool device, one will goes up and the other down, it won't resolve the totality of the problem, but will damped it, certainly.