Vocabulary should be, I think:
I. Hypothesis
II. Evidence, data
III. Experiment
What is your question exactly?
Answer:

Explanation:
We have to use the centripetal force equation

we need the radious so we have to isolate "r" and we get

replacing m=65 kg, v= 4.1 m/s and Fc=455N we get


The radius of the amusement park chamber is 2.4m
The actual size of the Solar system is too big to show without making a much smaller model. If someone wants to see the orientation of the planets a model has to be made so we can see it without flying out too space.