Experiment: Ball on an incline

Find the terminal speed of a ball rolling on an inclined desk.

Equipment:
  • a ball
  • 2 wooden blocks
  • ???
At the top of the desk, the ball has only potential energy [[$ E_{\text{pot}} = mgh $]]​. As the ball rolls downhill, it loses its potential energy and gains kinetic energy [[$ E_{\text{liike}} = \frac{1}{2}mv^2 $]]​ in return. As energy is conserved, we must have [[$ E_{\text{liike}} = E_{\text{pot}} $]]​, which implies:
​[[$$ \frac{1}{2}mv^2 = mgh \quad ||:m$$]]
​[[$$ \frac{1}{2}v^2 = gh \quad || \cdot2$$]]
​[[$$ v^2 = 2gh \quad || \sqrt{} $$]]​
​[[$$ v = \sqrt{2gh} $$]]​