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%A zircon sample contains 5000 atoms of the radioactive element 235U. %Given that 235U has a half- life of 650 million years, how long would it take to decay to 120 atoms? %Setup the variables A(t), k that will be used in the program. Find also the derivative of A(t) and set as dA syms dA %Initial Conditions cond1= cond2= Acondition %Set the differential equation model as eqn1; eqn1 %Find k1 and k2, by solving the initial value problem eqn1 using cond1 and cond2, respectively. k1 = k2= %Solve for k by equating k1 and k2 at t=0. Save results as k. %Solve the eqn1 using the acquired value of k and using Initial value cond1. %Solve the equation when A(t) = Acondition. Save Answer as tfinal (This is in Million Years) %Express your answer in years % Plot the equation: Use the Title=Radioactive Decay, XValue-Period (Million of Years), Value-Atoms of 235U %Use the domain (0, tfinal+5) with 0.2 gaps from each point x=0:0.2:tfinal+500; v=Asoln(x):

%A zircon sample contains 5000 atoms of the radioactive element 235U. %Given that 235U has a half- life of 650 million years, how long would it take to decay to 120 atoms? %Setup the variables A(t), k that will be used in the program. Find also the derivative of A(t) and set as dA syms dA %Initial Conditions cond1= cond2= Acondition %Set the differential equation model as eqn1; eqn1 %Find k1 and k2, by solving the initial value problem eqn1 using cond1 and cond2, respectively. k1 = k2= %Solve for k by equating k1 and k2 at t=0. Save results as k. %Solve the eqn1 using the acquired value of k and using Initial value cond1. %Solve the equation when A(t) = Acondition. Save Answer as tfinal (This is in Million Years) %Express your answer in years % Plot the equation: Use the Title=Radioactive Decay, XValue-Period (Million of Years), Value-Atoms of 235U %Use the domain (0, tfinal+5) with 0.2 gaps from each point x=0:0.2:tfinal+500; v=Asoln(x):

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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1 %A zircon sample contains 5000 atoms of the radioactive element 235U. 2 %Given that 235U has a half- life of 650 million years, how long would it take to decay to 120 atoms? 4 %Setup the variables A(t), k that will be used in the program. Find also the derivative of A(t) and set as da 5 syms 6 dA 7 8 %Initial Conditions 9 cond1= 10 cond2- 11 Acondition 12 13 %Set the differential equation model as eqn1; 14 eqn1 15 16 %Find k1 and k2, by solving the initial value problem eqn1 using cond1 and cond2, respectively. 17 k1 = 18 K2 = 19 20 %Solve for k by equating k1 and k2 at t=0. Save results as k. 21 22 23 %Solve the eqn1 using the acquired value of k and using Initial value cond1. 24 25 26 %Solve the equation when A(t) = Acondition. Save Answer as tfinal (This is in Million Years) 27 28 29 %Express your answer in years 30 32 33 % Plot the equation: Use the Title=Radioactive Decay, XValue-Period (Million of Years), YValue-Atoms of 235U 34 35 36 37 %Use the domain (0, tfinal+5) with 0.2 gaps from each point 38 x=0:0.2:tfinal+500; 39 y=Asoln(x);
Transcribed Image Text:1 %A zircon sample contains 5000 atoms of the radioactive element 235U. 2 %Given that 235U has a half- life of 650 million years, how long would it take to decay to 120 atoms? 4 %Setup the variables A(t), k that will be used in the program. Find also the derivative of A(t) and set as da 5 syms 6 dA 7 8 %Initial Conditions 9 cond1= 10 cond2- 11 Acondition 12 13 %Set the differential equation model as eqn1; 14 eqn1 15 16 %Find k1 and k2, by solving the initial value problem eqn1 using cond1 and cond2, respectively. 17 k1 = 18 K2 = 19 20 %Solve for k by equating k1 and k2 at t=0. Save results as k. 21 22 23 %Solve the eqn1 using the acquired value of k and using Initial value cond1. 24 25 26 %Solve the equation when A(t) = Acondition. Save Answer as tfinal (This is in Million Years) 27 28 29 %Express your answer in years 30 32 33 % Plot the equation: Use the Title=Radioactive Decay, XValue-Period (Million of Years), YValue-Atoms of 235U 34 35 36 37 %Use the domain (0, tfinal+5) with 0.2 gaps from each point 38 x=0:0.2:tfinal+500; 39 y=Asoln(x);
Decay Problem My Solut A zircon sample contains 4000 atoms of the radioactive element 235U. Given that 235U has a half-life of 700 million years, how long would it take to decay to 125 atoms? Solve the equation via MATLAB making sure that you passed though the following: 1. Initialization of variables 2. Setting up the differential equations 3. Listing down initial Conditions 4. Solving for the parameter k. 5. Finding the resulting model 6. Finding the period where the amount will be 125 atoms 7. Graph the solutions
Transcribed Image Text:Decay Problem My Solut A zircon sample contains 4000 atoms of the radioactive element 235U. Given that 235U has a half-life of 700 million years, how long would it take to decay to 125 atoms? Solve the equation via MATLAB making sure that you passed though the following: 1. Initialization of variables 2. Setting up the differential equations 3. Listing down initial Conditions 4. Solving for the parameter k. 5. Finding the resulting model 6. Finding the period where the amount will be 125 atoms 7. Graph the solutions
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