{ "metadata": { "name": "", "signature": "sha256:d91fc2c8a474e3c0069134482e3e16ad6362f5044324f39d0db7cd73f8242369" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 24:Laws of Motion" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.1, Page no.484" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Variable declaration\n", "m=100 #mass of body in kg\n", "a=3.5 #acceleration in m/s**2\n", "\n", "#calculation\n", "F=m*a\n", "\n", "#Result\n", "print\"F=\",int(F),\"N\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "F= 350 N\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.2, Page no.485" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "m=50 #mass of body in kg\n", "g_e=9.8 #acceleration due to gravity on earth in m/s**2\n", "g_m=1.7 #acceleration due to gravity on moon in m/s**2\n", "g_s=270.0 #acceleration due to gravity on sun in m/s**2\n", "\n", "#calculation\n", "F_1=m*g_e\n", "F_2=m*g_m\n", "F_3=(m*g_s)\n", "\n", "#Result\n", "print\"Weight of the body on the earth, F_1=\",int(F_1),\"N\"\n", "print\"Weight of the body on the moon, F_2=\",int(F_2),\"N\"\n", "print\"Weight of the body on the sun, F_3=\",round(F_3/1000,1),\"kN\"\n", "\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Weight of the body on the earth, F_1= 490 N\n", "Weight of the body on the moon, F_2= 85 N\n", "Weight of the body on the sun, F_3= 13.5 kN\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.3, Page no.485" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "m=7.5 #mass of the body in kg\n", "u=1.2 #velocity in m/s\n", "F=15 #Force in N\n", "t=2 #time in s\n", "\n", "#calculation\n", "a=F/m\n", "v=u+(a*t)\n", "\n", "#Result\n", "print\"Velocity of the body after 2 seconds, v=\",round(v,1),\"m/s\"\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Velocity of the body after 2 seconds, v= 5.2 m/s\n" ] } ], "prompt_number": 9 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.4, Page no.485" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "m=500.0 #mass of vehicle in kg\n", "u=25.0 #initial velocity in m/s\n", "F=200.0 #Force in N\n", "t=120.0 #time in s\n", "\n", "#calculation\n", "a=F/m\n", "v_1=u+(a*t)\n", "v_2=u+(-a*t) #Force acts in the opposite direction of motion\n", "\n", "#Result\n", "print\"Velocity of vehicle when the force acts in the dirction of motion,v_1=\",int(v_1),\"m/s\"\n", "print\"Velocity of vehicle when the force acts in the opposite dirction of motion,v_2=\",int(v_2),\"m/s\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Velocity of vehicle when the force acts in the dirction of motion,v_1= 73 m/s\n", "Velocity of vehicle when the force acts in the opposite dirction of motion,v_2= -23 m/s\n" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.5, Page no.486" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "F=50.0 #Retarding force in N\n", "m=20.0 #mass of the body in kg\n", "u=15 #initial velocity in m/s\n", "v=0 #final velocity\n", "\n", "#calculation\n", "a=F/m\n", "t=u/a \n", "\n", "#Result\n", "print\"t=\",int(t),\"s\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "t= 6 s\n" ] } ], "prompt_number": 15 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.6, Page no.486" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "m=2.5 #mass of the car in t\n", "F=1 #Propelling force in N\n", "u=10 #initial velocity in m/s\n", "v=15 #final velocity in m/s\n", "\n", "#calculation\n", "a=F/m\n", "t=(v-u)/a\n", "\n", "#Result\n", "print\"t=\",round(t,1),\"s\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "t= 12.5 s\n" ] } ], "prompt_number": 16 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.7, Page no.486" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "m=800.0 #mass of electric train in t\n", "Resistance=80 #Resistance to motion in kN\n", "Tractive=200 #Tractive force in kN\n", "v=25 #final velocity in m/s\n", "u=0 #initial velocity\n", "\n", "#calculation\n", "F=Tractive-Resistance\n", "a=F/m\n", "t=(v-u)/a\n", "\n", "#Result\n", "print\"t=\",round(t,1),\"s\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "t= 166.7 s\n" ] } ], "prompt_number": 17 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.11, Page no.490" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "m=50 #mass of the body in kg\n", "a=1.2 #acceleration in m/s**2\n", "g=9.8 #gravity in m/s**2\n", "\n", "#calculation\n", "F=m*(g+a)\n", "\n", "#result\n", "print\"F=\",int(F),\"N\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "F= 550 N\n" ] } ], "prompt_number": 18 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.12, Page no.490" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "m=100 #mass of the body in kg\n", "a=-0.8 #acceleration in m/s**2\n", "g=9.8 #gravity in m/s**2\n", "\n", "#calculation\n", "F_1=m*(g+a)\n", "F_2=m*(g-a)\n", "\n", "#Result\n", "print\"(a)The lift is moving upwards, F_1=\",int(F_1),\"N\"\n", "print\"(b)The lift is moving downwards, F_2=\",int(F_2),\"N\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)The lift is moving upwards, F_1= 900 N\n", "(b)The lift is moving downwards, F_2= 1060 N\n" ] } ], "prompt_number": 19 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.13, Page no.490" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "m=65.0 #mass of the body in kg\n", "F=800.0 #Force in N\n", "g=9.8 #gravity in m/s**2\n", "\n", "#calculation\n", "a=(F/m)-g\n", "\n", "#Result\n", "print\"Acceleration of the elevator, a=\",round(a,1),\"m/s**2\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Acceleration of the elevator, a= 2.5 m/s**2\n" ] } ], "prompt_number": 21 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.14, Page no.490" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "m_1=500 #mass of the elevator in kg\n", "a=3 #acceleration in m/s**2\n", "m_2=70 #mass of operator in kg\n", "\n", "#calculation\n", "R_1=m_2*(g+a)\n", "R_2=(m_1+m_2)*(g+a)\n", "\n", "#Result\n", "print\"Scale Reading,R_1=\",int(R_1),\"N\"\n", "print\"Total tension in the cable of the elevator, R_2=\",int(R_2),\"N\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Scale Reading,R_1= 896 N\n", "Total tension in the cable of the elevator, R_2= 7296 N\n" ] } ], "prompt_number": 22 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 24.18, Page no.495" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "M=25 #mass of the machine gun in kg\n", "m=0.03 #mass of the bullet in kg\n", "v=250 #velocity of firing in m/s\n", "\n", "#calculation\n", "V=(m*v)/M\n", "\n", "#Result\n", "print\"Velocity with which the machine gun will recoil, v=\",round(V,1),\"m/s\"\n", "\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Velocity with which the machine gun will recoil, v= 0.3 m/s\n" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }