brachistochrone demo model

 

Code Number: 1D15.20

Demo Title: High Road Low Roadl

Condition: Excellent

Principle: Path Lengths and Velocities

Area of Study: Mechanics

Equipment: 

Brachistochrones

Procedure: 

The balls will start and end at the same height.  The route is different and hence the time that the ball takes will be different also.  Using the carbon paper will enable you to show that the balls have the same energy when they leave the track.

References:

  • Paul Hewitt, "Figuring Physics", TPT, Vol. 60, #3, March 2022, p. 222.
  • Dan Hosey, "Modeling a High Road/Low Road Race Quantitatively Using Desmos", TPT, Vol. 57, #4, Apr. 2019, p. 266.
  • Paul Hewitt, "Figuring Physics: Ball Race", TPT, Vol. 48, #6, Sept. 2010, p. 364.
  • Paul Hewitt, "Hewitt's Response", TPT, Vol. 46, #2, Feb. 2008, p. 70.
  • Christopher LaSota, "Comment on 'Rolling Ball' (Figuring Physics, Dec. 2007)", TPT, Vol. 46, #2, Feb. 2008, p. 70.
  • Paul Hewitt, "Figuring Physics: Rolling Ball", TPT, Vol. 45, #9, Dec. 2007, p. 534.
  • Paul Hewitt, "Figuring Physics: Average Speed of Balls", TPT, Vol. 37, #7, Oct. 1999, p. 423.
  • G. E. Hite, "Real-World Constraints", TPT, Vol. 35, #6, Sept. 1997, p. 324.
  • Asif Shakur and Andrew Pica, "On An Ambiguous Demonstration", TPT, Vol. 35, #5, May 1997, p. 316.
  • William J. Leonard and William J. Gerace, "The Power of Simple Reasoning", TPT, Vol. 34, #5, May 1996, p. 280.
  • Joanne Langabee, "Additional Uses for High Road/Low Road", TPT, Vol. 29, #4, Apr. 1991, p. 196.
  • Paul Hewitt, "Figuring Physics", TPT, Vol. 27, #8, Nov. 1989, p. 640.
  • Art Schmidt and Dan Cieslik, "High Road/Low Road", TPT, Vol. 27, #4, Apr. 1989, p. 293.
  • John Bozovsky and Father John Milton, "Doing Physics: Acceleration", TPT, Vol. 24, #6, Sept. 1986, p. 356.
  • D. Rae Carpenter Jr. and Richard B. Minnix, "M-418. High Road-Low Road", DICK and RAE Physics Demo Notebook, 1993.
  • Christopher P. Jargodzki and Franklin Potter, "233. The Unrestrained Brachistochrone", Mad About Physics, p. 92 - 93, 228 - 229.
  • Robert Ehrlich, "E.11. Path of Least Time", Turning the World Inside Out and 174 Other Simple Physics Demonstrations, p. 65.
1D15.20 - University of Maryland QOTW #2
1D15.20 - High Road - Low Road