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Koki — Rupert 1 Analyzing the Relationship Between the Number of Magnet Stations on a Linear Magnetic Accelerator and the Velocity of a Steel Ball Derek Koki and Celeste Rupert Macomb Mathematics Science Technology Center Physics 11B Mr. McMillan, Mrs. Cybulski, and Mrs. Tallman
  Koki — Rupert 1Analyzing the Relationship Between the Number of Magnet Stations on a Linear Magneti Aelerator an! the eloity of a Steel Ball#erek Koki an! $eleste RupertMaomb Mathematis Siene %ehnology $enter &hysis 11BMr' MMillan( Mrs' $ybulski( an! Mrs' %allman)une *( +,1-  Koki — Rupert + Table of Contents .ntro!ution ////////////////////////////// 1Re0iew of Literature //////////////////////////'' &roblem Statement //////////////////////////''' 1,23perimental #esign ////////////////////////// 11#ata an! 4bser0ations /////////////////////////' 15#ata Analysis an! .nterpretation /////////////////////' 16$onlusion /////////////////////////////''' +7Appen!i3 A /////////////////////////////'' +*8orks $ite! /////////////////////////////' ,  Koki — Rupert  Analyzing the Relationship Between the Number of Magnet Stations on a LinearMagnetic Accelerator and the elocity of a Steel Ball 9a0e you e0er seen a roller oaster that shoots off at a 0ery high 0eloity: %hose roller oasters use linear aeleration an! the laws of onser0ation to ahie0e this' Sientists ha0e thought about using this same proess to launh ob;ets into spae without the use of rokets( whih woul! lessen the amount of fuel these launhe! ob;ets woul! nee!' %his is important beause fuel is a non<renewable natural resoure whose supply is =uikly !iminishing' %o turn this i!ea into reality( high 0eloities must be ahie0e! with linear aeleration' %he purpose of this e3periment was to !etermine whether inreasing the number of magnet stages in a magneti linear aelerator woul! inrease the 0eloity of the launhe! ob;et' %his e3periment was !one by reating a miniature linear magneti aelerator' An initial steel marble was rolle! !own a metal trak an! onto a seon! metal trak where it olli!e! with a pair of magnets' %his pair of magnets ha! a pair of steel marbles on the opposite si!e >this was alle! a magnet station?( an! as the momentum from the first marble tra0ele! through the magnet station( the last marble in that station was launhe!' %his marble either then olli!e! with another magnet station( repeating the proess( or it went through the photogates whih measure! its 0eloity in meters per seon! >m@s?' %his e3periment foun! that as the number of magnet stations went up( so !i! the 0eloity of launhe! marble' %his was supporte! by the p<0alue of ,',,( an! the onfi!ene inter0al that state! that the real inrease in 0eloity per station a!!e! was  between ,',*6 an! ,'7,' %his shows that as the number of magnet stations inreases( so !oes the linear 0eloity'  Koki — Rupert 5 !ntroduction 9a0e you e0er been on a rolleroaster that takes off at an inre!ibly fast spee!: .f you ha0e not( the best known e3ample of this is the %op %hrill #ragster at $e!ar &oint loate! in San!usky( 4hio' .nstea! of limbing a hill to use the gra0itational potential energy( like most rolleroasters !o( these rolleroasters use magnetism an! energy onser0ation to attain great spee!s' Magnets are use! to push an! pull on the rolleroaster inreasing the spee! 0ery =uikly' Some engineers ha0e thought about using this i!ea to launh ob;ets into spae without using rokets >Magneti Linear Aelerator'?' %his will greatly re!ue the amount of fuel that the ob;et launhe! will nee!( sa0ing oil whose supply is =uikly !iminishing' %o make this i!ea a reality( a 0ery high spee! must  be ahie0e! by using a magneti linear aelerator' %he purpose of the e3periment was to !iso0er if there was a positi0e linear relationship between the number of magnets in an aelerator an! the 0eloity of the ob;et launhe! from the aelerator' %o !o this( a miniature magneti linear aelerator was reate! with eletrial tape( neo!ymium magnets( metal traks( an! steel balls' .n initial steel ball was rolle! !own a metal trak that ate! as a ramp( an! then onto a seon! metal trak where it was pulle! towar!s a pair of magnets' %he ball aelerate! !ue to the magnets pulling it( then olli!e! with the magnets' %wo a!!itional steel balls were sitting on the other si!e of the magnets >this ombination of a pair of magnets an! a  pair of steel balls was alle! a magnet station?( an! when the initial ball olli!e! with the  pair of magnets the its momentum tra0ele! through the magnet station an! launhe! the final steel ball in that station' %he launhe! ball then went through the photogates where
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