The microscopic superhero "Nano Power" attaches a carbon atom to one end of his SuperString, which is 10 nm long. He grabs the other end of the SuperString and whirls it around his head with frequency f. At just the right moment, he releases the SuperString so that the carbon atom flies off into a nearby helium atom.

1. In order to knock one electron out of the helium atom, with what frequency must Nano swing the carbon atom?

2. How hard must Nano pull on the string to keep the carbon atom moving in this way?

3. Once he has singly ionized the helium, Nano prepares to launch another carbon atom and knock the OTHER electron out of the helium atom. With what frequency must he now swing his SuperString?