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+{
+"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
+}