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diff --git a/Principles_of_Physics_by_P_V_Naik/3-Potential_Energy.ipynb b/Principles_of_Physics_by_P_V_Naik/3-Potential_Energy.ipynb new file mode 100644 index 0000000..1533128 --- /dev/null +++ b/Principles_of_Physics_by_P_V_Naik/3-Potential_Energy.ipynb @@ -0,0 +1,190 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 3: Potential Energy" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.1: Potential_energy.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"clear\n", +"//Input data\n", +"m=0.04//Mass of stone in kg\n", +"vi=25//Initial velocity in m/s\n", +"vf=0//Final velocity in m/s\n", +"yi=0//Initial height in m\n", +"\n", +"//Calculations\n", +"Ui=(m*9.81*yi)//Initial potential energy in J\n", +"Ki=(1/2)*m*vi^2//Initial kinetic energy in J\n", +"Etotal=(Ui+Ki)//Total energy in J\n", +"h=(Etotal/(m*9.8))//Maximum height in m\n", +"//when the stone is at (2/3)h, total energy is again same\n", +"v=sqrt((Etotal-(m*9.8*(2/3)*h))/((1/2)*m))//Velocity at (2/3) of its maximum height in m/s\n", +"\n", +"//Output\n", +"printf('Maximum height it will reach is %3.1f m \n Potential energy at that height is %3.1f J \n velocity when it is at the two-third of its maximum height is %3.2f m/s',h,Etotal,v)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.2: Potential_energy.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"clear\n", +"//Input data\n", +"m=0.5//Mass of the sphere in kg\n", +"vi=100//Initial velocity in m/s\n", +"vf=20//Final velocity in m/s\n", +"\n", +"//Calculations\n", +"h=(vi^2-vf^2)/(2*9.8)//Height in m\n", +"PE=(m*9.8*h)//Potential energy in J\n", +"\n", +"//Calculations\n", +"printf('Potential energy of the sphere is %i J',PE)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.3: Potential_Energy.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"clear\n", +"//Input data\n", +"m=0.5//Mass of the block in kg\n", +"x=0.05//Distance to which block is pulled in m\n", +"k=300//Force constant of the spring in N/m\n", +"\n", +"//Calculations\n", +"U=(1/2)*k*x^2//Potential energy of the block in J\n", +"v=x*sqrt(k/m)//Velocity of the block in m/s\n", +"\n", +"//Output\n", +"printf('Potential energy of the block when spring is in stretched position is %3.3f J \n Velocity of the block when it passes through the equilibrium position is %3.2f m/s',U,v)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.4: Speed.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"clear\n", +"//Input data\n", +"l=0.8//Length of a simple pendulum in m\n", +"q=30//Angle with the vertical through which the bob is released in degrees\n", +"q1=10//Required angle in degrees\n", +"\n", +"//Calculations\n", +"v=sqrt(2*9.8*l*(cosd(q1)-cosd(q)))//Speed in m/s\n", +"\n", +"//Output\n", +"printf('Speed when the bob is at the angle of %i degrees with the vertical is %3.2f m/s',q1,v)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.5: Rest_and_total_energy.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc\n", +"clear\n", +"//Input data\n", +"m=(9.1*10^-31)//Mass of the electron in kg\n", +"v=(3*10^8)//Velocity of light in m/s\n", +"c=(1.6*10^-19)//Charge of the electron in coloumbs\n", +"\n", +"//Calculations\n", +"Re=(m*v^2)/(c*10^6)//Rest energy in MeV\n", +"E=(Re/sqrt(1-0.9^2))//Total energy in MeV\n", +"\n", +"//Output\n", +"printf('Rest energy of the electron is %3.3f MeV \n Total energy is %3.4f MeV',Re,E)" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |