Device Overview Project Jag is a Rube-Goldberg device which utilizes gravity to perform the task of turning on a light bulb.
Energy Conversions Overview 1)The jaguar (not mini cooper) rolls down the incline 2)The elevated tennis ball swings to knock over the box 3)The battery falls through a funnel and hits the metal box which turns on the light bulb
Assumptions Friction neglected Velocity of battery falling through funnel is zero at point right before stem Air resistance neglected
Calculations Energy Equation 1 mgh=0.5mv^2 Masses cancel gh=0.5v^2 (32.2ft/s^2)(0.21ft)=0.5(v ^2) v=3.7ft/s Energy Equation 2 mgh=0.5mv^2 Masses cancel gh=0.5v^2 (32.2ft/s^2)(0.5ft)=0.5(v^ 2) v=5.7ft/s
Calculations Energy Equation 3 *Note, velocity will vary with height of table. Given formula is with height of test table. mgh=0.5mv^2 Masses cancel gh=0.5v^2 (32.2)(2.2ft)=0.5(v^2) v=11.9ft/s
Demonstration
Problems Making sure we had all supplies we needed Figuring out a way to make the battery consistently fall into funnel Finding an object small enough to fit through a funnel but heavy enough to flip a switch
Conclusion Rube-Goldberg devices are complicated ways of doing simple tasks but good real life examples of physics at work Jaguars and mouse traps don’t mix