This question about when to choose the word work or study:
Adam: "Hey, are you up to going out?"
Jamie : "Well I wish but I can't. Sorry. Since I have to finish and hand in my project by Monday, I have to study/work for the next few days. Thank you, though."
Jamie's Mother: "Thank you for coming, aunt Beth."
Aunt Beth: "It is nice to see you again. So where is Jamie? I haven't seen him for ages. He must be a man now."
Jamie's Mother: "Well Jamie is not at home. He went to Boston. He is studying medicine."
Probably we can use the word work in the Situation 1, but for me when I say "I am working" it sounds like I am using my body more than my brain. A professor could be working in his/her room I think but it sounds more professional again for me.
So my question is that if both conversations are ok and if we use the word work Would there be a difference in terms of meaning?