Ok, you're younger than I expected (I was expecting someone from college).
Does your physics science proposal have to be practical just simply theoretical? If theoretical is acceptible, why not build a basic hovercraft based on leaf-blower motor or even toy motors with model airplane propellers (if the chassis is light enough).
Back in my 1st year of college, I helped my HS friend do his 4th year science project by building him a basic hovercraft using model airplane props, toy motors and lots of styrofoam, sheet plastic (plastic bags) and some cardboard. Power came from a 12V 3amp power supply that had a voltage selector.
Another project I helped was "hydraulics project" using a number of syringes, plastic hoses, thick wire, some epoxy glue and water. We used the syringes with thick wires glued on as cylinders to move a model "hand" using the force from moving another set of syringes. Having different sized syringes gave either more movement or more force. In this project, you can model a robotic arm and gripper instead of a simple "hand" to make it more "current" and high tech.
You can make the "robot arm" cooler by making a frame to attach to your arm and installing one set of syringes on the frame. That way, you can control the robot arm directly by moving your arm and hand. Just make sure your joints, glue and hoses are strong and long enough.
As for my own HS project, nothing more complicated than a solar powered clock made from parts I just salvaged from stuff I found including solar cells, big screen digital clock, Ni-Cd batteries I bought, a 3.0v voltage meter and some capacitors. I got an "A" since my prof then was very interested in solar powered gadgets (and stuff like it wasn't yet as common as today).
I wonder how a potato powered clock would fare with your teacher?(BTW, you can replace the potato with other fruits and it would work just as well).






(BTW, you can replace the potato with other fruits and it would work just as well).
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