ࡱ> `  jbjb "\|c|cllllLLLRz z z z t LR5F!###$'[.405555555,Z6R8I5L1&'11I52ll#$_^52221(l#L$52`^llll15224 @L5:! !Pz 145t5054,92952LRRRRSolving Physics Problems with your TI 83 Calculator HYPERLINK \l "about_me"By David Doty This web site is designed to help students become familiar with the use of the TI 83 and TI 83+ calculators for use in physics classes. While the use of this web page is not limited to physics students, the concepts addressed here tend to cause problems facing physics students.   HYPERLINK "http://www.ticalc.org/basics/calculators/ti-83plus.html"     How to input scientific notation with your TI (shortcut) The use of the [EE] key. For many calculators, including the TI 83 and TI 83 Plus, the [EE] button is used to enter scientific notation. The [EE] button can be found in yellow above the comma key [,]. For entering scientific notation, the following keystrokes should be used: first type the number, then the 2nd key followed by the comma key, [2nd] [,]  EMBED Equation.3  [EE], followed by the exponent. As an example, to enter 3 x 108 type [3] [EE] [8]. The display will read 3E8. The calculator can be set to display answers in scientific notation or normal display. To set the display, simply press the mode button and using the arrow keys select the desired display and press enter. To leave this menu, press [2nd] [MODE] to quit. Follow these examples for inputting basic addition, subtraction, multiplication, and division.  HYPERLINK \l "_top" (top) Addition: Add: 8.1 x 106 + 4.2 x 105 Type: 8.1 [EE] 6 [+] 4.2 [EE] 5 Displayed answer: 8.52E6 Numerical answer: 8.52 x 106 = 8,520,000  HYPERLINK \l "_top" (top) Subtraction Subtract: 6.2 x 10-3 2.8 x 10-4 Type: 6.2 [EE] -3 [] 2.8 [EE] -4 Numerical answer: 5.92E-3 Numerical answer: 5 x 10-3 = 0.00592  HYPERLINK \l "_top" (top) Multiplication Multiply: (3 x 106) (2 x 103) Type: 3 [EE] 6 [X] 2 [EE] 3 Displayed answer: 6E9 Numerical answer: 6 x 109 = 6,000,000,000  HYPERLINK \l "_top" (top) Division Divide:  EMBED Equation.3  Type: 6 [EE] 8 [ EMBED Equation.3 ] 2 [EE] 10 Displayed answer: 3E-2 Numerical answer: 3 x 10-2 = 0.03  HYPERLINK \l "_top" (top) Sample Physics Problems What is the magnitude of the gravitational force between an electron and a proton separated by a distance of 1.0 x 10-10 meters?  HYPERLINK \l "Ans1" answer A positive charge of 6.0 x 10-6 C is 0.030 m from a second positive charge of 3.0 x 10-6 C. Calculate the electric force between the charges.  HYPERLINK \l "Ans2" answer In a vacuum, the wavelength of green light is 5 x 10-7 meter. What is its frequency?  HYPERLINK \l "Ans3" answer What is the energy of a photon with a frequency of 3.00 x 1013 cycles per second?  HYPERLINK \l "Ans4" answer  HYPERLINK \l "_top" (top) Answers to Sample Physics Problems 1) Calculate gravitational force via Newton's Universal Law of Gravitation  EMBED Equation.3  EMBED Equation.3  EMBED Equation.3  Type: 6.67 [EE] -11 [X] 9.11 [EE] -31 [X] 1.67 [EE] -27 [ EMBED Equation.3 ] 1 [EE] -10 [x2] Calculator Display: 6.67E-11 * 9.11E-31 * 1.67E-27 / 1E-102 Displayed answer: 1.0E-47 Numerical answer: 1.0 x 10-47  HYPERLINK \l "PhysProb" Back to Problems 2) Calculate Coloumb Force via Coloumb's Law:  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  Type in: 8.99 [EE] 9 [X] 6.0 [EE] -6 [X] 3.0 [EE] -6 [ EMBED Equation.3 ] .030 [x2] Calculator Display: 8.99E9 * 6.00E-6 * 3.00E-6 / .0302 Displayed answer: 179.8 Numerical answer: 179.8  HYPERLINK \l "PhysProb" Back to Problems  HYPERLINK \l "_top" (top) 3)  EMBED Equation.3 Hz Type in: 3 [EE] 8 [X] 5 [EE] -7 Calculator display: 3E8/5E-7 Displayed answer: 6E14 Numerical answer: 6.0 x 1014  HYPERLINK \l "PhysProb" Back to Problems 4)  EMBED Equation.3 J Type in: 6.63EE-34 X 3EE13 Calculator display: 6.63E34 * 3E13 Displayed answer: 1.99E-20 Numerical answer: 1.99 x 10-20  HYPERLINK \l "PhysProb" Back to Problems  HYPERLINK \l "_top" (top) Inputting using parentheses For those of you who do not want to use the EE button on the calculator, yes parentheses can be used to enter equations. Example from the division section above: Divide:  EMBED Equation.3  This can be entered: (6 [X] 10 [^] 8) [ EMBED Equation.3 ] (2 [X] 10 [^] 10) Answer: 3E-2 = 3 x 10-2 TI orders of operation The problem with typing in [X] 10 [^] (exponent) is that the TI 83 calculators do not distinguish scientific notation from multiplication and division. This becomes problematic when dividing numbers in scientific notation. As an example look at question 3 from the sample physics problems. In a vacuum, the wavelength of green light is 5 X 10-7 meter. What is its frequency? The solution is:  EMBED Equation.3  However if a student mistakenly types in: 3 [X] 10 [^] 8 [/] 5 [X] 10 [^] -7 the TI gives the answer of 6. This is the orders of operations that the TI follows for this example:  EMBED Equation.3   HYPERLINK \l "_top" top Rationale: Although one of the goals of the new NYS standards is to increase conceptual understanding of physics, students still need to be able to mathematically solve physics problems. Many students use the Texas Instrument calculators (TI 83 and TI 83+) as a tool for solving problems and we need to clarify the problems that students have in using this tool. The TI calculators do not use common sense when performing calculations, so the students need to correctly input the data to get the correct outcomes.  HYPERLINK \l "_top" top David Doty David Doty is currently teaching NYS Regents Physics, Environmental Science, and various science laboratories at Salamanca City Central Schools. He has a Bachelor of Arts in Mathematics from the State University of New York at Buffalo and is working on the completion of his Masters in Physics Education at Buffalo State College. If you wish to contact me, please email me at HYPERLINK "mailto:ddoty@salamancany.org"ddoty@salamancany.org HYPERLINK \l "How_to"How to input scientific notation with your TI (shortcut)  HYPERLINK \l "Adding" Addition and subtraction  HYPERLINK \l "Multiplication" Multiplication  HYPERLINK \l "Division" Division  HYPERLINK \l "PhysProb" Sample physics problems  HYPERLINK \l "Orders_of_op" TI order of operations  HYPERLINK \l "Parentesis" Inputting using parentheses  HYPERLINK \l "Rationale" Rationale 45MNO\]^_z|} һҤtl_Th{Bh7MxCJ$aJ$hdh7MxB*aJ$phjTh7MxUjsh7MxUjh7MxUjh7MxUmHnHuh7Mxhdh7MxB*phh7MxB*CJ phh{Bh7Mx0JCJ0aJ0,jh{Bh7MxB*CJ0UaJ0phh{Bh7MxB*CJ0aJ0ph&jh{Bh7MxB*CJ0UaJ0phh{Bh7MxCJ0aJ04^_z{|     gd7Mx$ xx^xa$gd7Mx$a$gd7Mxgd7Mx LMfg< <  0 Y  $`a$gd7Mx$a$gd7Mxgd7Mxgd7Mx ( * K L X b c y Ƕ貞xkch7MxCJ$aJ$h{Bh7Mx0JCJ$aJ$,j;h{Bh7MxB*CJ$UaJ$phh{Bh7MxB*CJ$aJ$ph&jh{Bh7MxB*CJ$UaJ$phh7Mx!j^9h{Bh7MxCJ$EHUaJ$#j"F h{Bh7MxCJ$UVaJ$jh{Bh7MxCJ$UaJ$h{Bh7MxCJ$aJ$h{Bh7MxCJ$H*aJ$ y z {   - . / 4 5 6 Y Z c d 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