[delurk]
Hmm. I felt like doing math, poorly. I'd also prefer Earth survive this, so all assumptions are best case scenarios for Earth.
max earth to jupiter distance: 968000000000 m
pole speed: 16000 m/s
time to intercept: 60500000 s (not accounting for planetary movement)
radius of earth + atmosphere: 6453312 m (assuming whatever god threw this at us has good aim for a center mass hit and an atmospheric miss would be enough, which I doubt)
speed necessary to deflect from the path and miss earth if starting from the moment it was detected: .106 m/s
telephone pole radius: .11 meters (varies wildly, tapers, etc. Just need a number)
pole length: 71492000 m
pole volume: 2717644 m3
steel mass placeholder for adamantium: 7900000 g/m3
pole mass: 21469387600 kg (the tiny radius helps us a lot here)
acceleration in 1ms to reach target speed: 106 m/s2 (I'm not getting involved in impulse or whatever for this)
Force required: 2,275,755,085,600 N
This guy (
http://www.u.arizona.edu/~tuvas/Project_orion.html ) throws out a number for project orion that 1 bomb == 80,000,000 N. Assuming that number, you'd need 28,447 project orion style detonations.
Saturn V stage I force: 3.5*10^7 N
Force required to deflect: 65,021 Saturn V rockets
Bomb or rocket, you'd have to exert this force at the center of the pole to prevent it from wasting some energy tumbling.
Lacking a teleporter, there's no real way to get a fully-loaded Saturn V to the pole, position it, and fire it. Even if we could launch parts and fuel to orbit, assemble it, and somehow get it to the pole with a second ship, the time required to do so will increase the number of Saturn Vs needed to get a successful deflection. Even under the best circumstances, we're boned.