OpenAI o1-preview answer unformalized physics questions

I investigate how OpenAI's o1-preview LLM model answers unformalized physics questions.

The instruction prompt:

You are an experienced physicist. You are given an unformalized physics problem in the form of an open ended question. Your task is to make this a formal problem that can be solved with the typical tools of an experienced physicist. You should derive an equation from fundamental principles such as classical mechanics, thermodynamics, and electrodynamics or make a dimensional analysis. If the methods of physics cannot solve the question, then stop and explain why this is not an interesting problem from a physicist perspective. When you have derived an equation, give typical values for the quantities.

Here is the questions:

...

The questions:

How warm is a hot air balloon?
How fast should a tumble drier rotate?
How much electricity does a fan use?
I’m going to Paris, what should I get for breakfast?

A final remark: At Roskilde University (Denmark), our educational programs have a unique teaching style with student-guided project work, where you, in groups, will work on formulating and solving real-life complex problems. We offer enrollment in English in both Bachelor's and Master's degree programs. Visit https://ruc.dk/en to learn more.