Experiment: Rolling on a tilted surface
Equipment:
[[$$ a = \frac{F}{m} = \frac{mg \sin \alpha}{m} = g \sin \alpha = \frac{gh}{L} $$]]
[[$$ s = \frac{1}{2}at^2 \Leftrightarrow t = \sqrt{\frac{2s}{a}} $$]]
[[$$ t = \sqrt{\frac{2L}{a}} = \sqrt{\frac{2L^2}{gh}} = L \sqrt{\frac{2}{gh}} $$]]
- a ball
- 2 wooden blocks
- a timer
- Raise one end of your table with your blocks.
- Let a ball roll from the elevated end. Measure with a timer.
- Which variables increase or decrease the time taken?
- Form a model.
[[$$ a = \frac{F}{m} = \frac{mg \sin \alpha}{m} = g \sin \alpha = \frac{gh}{L} $$]]
[[$$ s = \frac{1}{2}at^2 \Leftrightarrow t = \sqrt{\frac{2s}{a}} $$]]
[[$$ t = \sqrt{\frac{2L}{a}} = \sqrt{\frac{2L^2}{gh}} = L \sqrt{\frac{2}{gh}} $$]]