Space - космос, космическое пространство. Scientists explore the space. All the possibilities- все возможности. I am very interested in the exploration of all possibilities of life on Mars.
Do research into/on - производить исследование. Yesterday, I talked with a researcher, that did research into renewable energy sources. Space research - исследование космического пространства. Space research is scientific studies about the space.
A spaceship - ракета. A spaceship was launched into orbit.
A project -проект. Before to launch a successful project, write down your goals, all risks and ways to get the success.
A key/ Serious problem- серьёзная проблема. They got a serious problem with a broken car on their way home.
A scientific/medical problem- научная/медицинская проблема. Scientific problems are usually based on observation of scientific phenomena.
To solve a problem- разрешить проблему. They solved a problem with a broken car by calling to their insurance office.
No problem! Без проблем! I am sorry, my car is broken,so i can not pick you up today . Don't worry! No problem. I will take a bus.