The frequency of the wave increases as it is the number of oscillations per second.
1) First of all, let's calculate the potential difference between the initial point (infinite) and the final point (d=0.529x10-10 m) of the electron.
This is given by:

Where E is the electric field generated by the proton, which is
where

is the Coulomb constant and

is the proton charge.
Replacing the electric field formula inside the integral, we obtain

2) Then, we can calculate the work done by the electric field to move the electron (charge

) through this

. The work is given by
Condensation does not effect the temperature of the area, condensation is the product the temperature difference between an object and the area it is in
There are several approaches. The most favourable one (in my opinion) is this one:
1. Asking a question
2. Doing a research (how to answer this question)
3. Creating a hypothesis (NOT a thesis!)
4. Experimenting (to prove the hypothesis)
5. Analysing results from the experiment
6. Writing a thesis
Well, you didn't ask a question, and 4 m/s is not an angular speed.
So all I can offer is a couple of observations:
1). The tension in the rope is
M V² / R = (1.5 kg) x (4 m/s)² / R
= (24 kg-m²/s²) / (distance of the ball from the pole).
2). Tetherball was the only thing I played at camp,
more than 60 years ago, and I loved it !
It was a tough game, because we had to skin
our own T.Rex and use his hide to make the ball
and his guts for the rope.