In the immortal words of Homer J. Simpson:
Meteorites may hit the upper atmosphere at 17000 m/s, but they sure don't hit the ground at that speed. And your tungsten pole is coming from orbit, not deep space, so it starts out at orbital velocity, about 8000 m/s.
Gravity will buy you a little coming from orbital altitude, but not 24,000 m/sec, and especially not 24,000 m/s through the atmosphere. A terminal velocity, at the earth's surface, of 31,000 m/s (that's 69,000 miles/hour, faster than *any* manmade object has *ever* gone, by a factor of almost two) ... that's completely impossible.
A kiloton is equal to 4.184 TERAjoules, not gigajoules. (It's in your link.)
Descending from orbital altitude (assumed to be 270 miles), assuming gravity is constant from ground to 270 miles (it isn’t, so this estimate is high), gives you sqrt(2 * g * d-in-meters) or sqrt(2 x 9.8 x (270 * 1,609)) or a bit over 2900 m/sec. So if there were no atmosphere, you could hit a target on the ground from orbit at 8000+2900 m/sec or about 11,000 m/sec, best case.
In the immortal words of Homer J. Simpson: