{ "metadata": { "name": "", "signature": "sha256:1378ee9b7b5e64639ff100ad2dca16b71e72eadb106daabd3ad20e87834e8b65" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 2 Work, Energy and Power" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.1 Page no 26" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#given\n", "F=(6,2) #Constant force in vector form 6i+2j in N\n", "s=(3,5) #Displacement in vector form 3i+5j in N\n", "\n", "#Calculations\n", "import math\n", "W=(F[0]*s[0])+(F[1]*s[1])\n", "q=math.acos(W/(math.sqrt(F[0]**2+F[1]**2)*math.sqrt(s[0]**2+s[1]**2)))*180/3.14\n", "\n", "#Output\n", "print\"Workdone by the force is \",W,\"J\" \n", "print\"Angle between Force and displacement is \",round(q,1),\"degrees\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Workdone by the force is 28 J\n", "Angle between Force and displacement is 40.6 degrees\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.2 Page no 26" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#given\n", "m=10 #Mass of block in kg\n", "q=40 #Angle made by the force with horizontal in degrees\n", "s=5 #Horizontal displacement of the block in m\n", "u=0.3 #Coefficient of kinematic friction \n", "\n", "#Calculations\n", "import math\n", "F=(u*m*9.8)/(math.cos(q*3.14/180.0)+(u*math.sin(q*3.14/180.0)))\n", "W=(F*math.cos(q*3.14/180.0))*s\n", "\n", "#Output\n", "print\"Workdone by the pulling force is \",round(W,1),\"J\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Workdone by the pulling force is 117.5 J\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.3 Page no 27" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#plot\n", "import matplotlib.pyplot as plt\n", "fig = plt.figure()\n", "x=[0,1,2,3,4,5]\n", "F=[0,6,6,12,12,0]\n", "xlabel(\"x (m)\") \n", "ylabel(\"F (N)\") \n", "plt.xlim((0,5))\n", "plt.ylim((0,14))\n", "a=plot(x,F)\n", "show(a)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.4 Page no 27" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#given\n", "m=0.05 #Mass of the body in kg\n", "v=(3,5) #Velocity in vector form 3i+4j in m/s\n", "\n", "#Calculations\n", "ke=(1/2.0)*m*(v[0]**2+v[1]**2)\n", "\n", "#Output\n", "print\"Kinetic energy is \",ke,\"J\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Kinetic energy is 0.85 J\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.5 Page no 27" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#given\n", "k=50 #Spring force constant in N/m\n", "x=-0.02 #Length of compression in m\n", "\n", "#Calculations\n", "W=(1/2.0)*k*(x)**2\n", "\n", "#Output\n", "print\"Work done by the spring when the block comes from the compressed position to the equilibrium position is \",W,\"J\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Work done by the spring when the block comes from the compressed position to the equilibrium position is 0.01 J\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.6 Page no 27" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#given\n", "x=0.03 #Length stretched by the spring in m\n", "m=0.25 #Mass of the body in kg\n", "\n", "#Calculations\n", "k=(m*9.8)/x\n", "\n", "#Output\n", "print\"Force constant of the spring is \",round(k,3),\"N/m\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Force constant of the spring is 81.667 N/m\n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.7 Page no 27" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#given\n", "m=5 #Mass of block in kg\n", "F=20 #Constant force in N\n", "x=6 #Distance moved by the block in m\n", "\n", "#Calculations\n", "import math\n", "W=(F*x)\n", "v=math.sqrt((2*W)/m)\n", "\n", "#Output\n", "print\"Speed of the block when it moves through a distance of \",x,\"m is\",round(v,2),\"m/s\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Speed of the block when it moves through a distance of 6 m is 6.93 m/s\n" ] } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 2.8 Page no 28" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#given\n", "m=50 #Mass of the object in kg\n", "v=8 #Speed in m/s\n", "t=4 #Time taken in s\n", "\n", "#Calculations\n", "a=(v-0)/t\n", "s=(v**2/(2.0*a))\n", "W=(m*a*s)\n", "P=(W/t)\n", "\n", "#Output\n", "print\"Workdone on the object is \",W,\"J\" \n", "print\"The average power delivered by the force in the first \",t,\"s is \",P,\"watt\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Workdone on the object is 1600.0 J\n", "The average power delivered by the force in the first 4 s is 400.0 watt\n" ] } ], "prompt_number": 8 } ], "metadata": {} } ] }