Power is the problem. An external hard drive spins at 5,400 or 7,200 RPM, and once it starts, any misaligned head is forced back over the platters. If it touches the surface, it scratches the magnetic layer where your files live. Scratched areas are gone for good.
To get a sense of the speed, at 7,200 RPM the outer edge of a desktop-size platter moves at more than 75 mph. A head dragging across that surface can overheat, and specks of scraped-off material get flung around the drive, hitting and contaminating other parts of the disk. Engineers call this a head crash, and data is very hard to recover after one.
The damage also grows with time. The longer a broken drive stays powered, the more of the surface gets ruined. The risk is higher still if the drive was running when it fell, because the heads were out over the platters instead of parked safely to the side.