// Numbas version: finer_feedback_settings
{"name": "FIS5047_S4_Numbas", "metadata": {"description": "", "licence": "None specified"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Energ\u00eda", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", ""], "variable_overrides": [[], []], "questions": [{"name": "Conservacion Energ\u00eda", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Ivan Munoz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18334/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Un acr&oacute;bata sale del extremo de una rampa en una motocicleta con<br/>una rapidez de {velocidad} m/s. Si su rapidez es de {velocidadmax} m/s cuando alcanza el punto m&aacute;s alto de la<br/>trayectoria,Desprecie la fricci&oacute;n y la resistencia del aire.</p>", "advice": "<p>Supongamos que la rampa tiene una altura $h$ por lo tanto la energ&iacute;a con la que sale la moto ser&aacute;,</p>\n<p>$E_i=\\frac{1}{2}mv_i^2+mgh$</p>\n<p></p>\n<p>Al llegar a su punto mas alto, la moto tendra energ&iacute;a,</p>\n<p>$E_f=\\frac{1}{2} mv_f^2+m g (h+d)$</p>\n<p>donde $d$ es la altura que llega a tener la moto. Debido a que no hay roce, hay conservacion de energ&iacute;a. Por lo tanto,</p>\n<p></p>\n<p>$E_ii=E_f\\Rightarrow \\frac{1}{2}mv_i^2+mgh=\\frac{1}{2} mv_f^2+m g h+mgd\\Rightarrow d=\\frac{v_i^2-v_f^2}{2}=\\var{resp}$</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"velocidad": {"name": "velocidad", "group": "Ungrouped variables", "definition": "random([30, 31,32,33,34,35])", "description": "", "templateType": "anything", "can_override": false}, "velocidadmax": {"name": "velocidadmax", "group": "Ungrouped variables", "definition": "velocidad - random([1,2,3,4])", "description": "", "templateType": "anything", "can_override": false}, "resp": {"name": "resp", "group": "Ungrouped variables", "definition": "(velocidad^2-velocidadmax^2)/2", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["velocidad", "velocidadmax", "resp"], "variable_groups": [{"name": "Unnamed group", "variables": []}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>&iquest;cu&aacute;l es la altura m&aacute;xima que alcanza?</p>", "minValue": "resp-2", "maxValue": "resp+2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "bloque deslizandonse", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [["question-resources/fig1_HhFpwhc.jpg", "/srv/numbas/media/question-resources/fig1_HhFpwhc.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Tom Stallard", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/841/"}, {"name": "Ivan Munoz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18334/"}], "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Un esquiador inicia desde el reposo en la parte superior de un plano inclinado de {altura}m de alto. En la parte inferior del plano, el<br/>esquiador encuentra una superficie horizontal donde el coeficiente de fricci&oacute;n cin&eacute;tica entre los esqu&iacute;es y la nieve es {roce}.</p>\n<p></p>", "advice": "<p><strong>a)&nbsp;</strong> La energ&iacute;a en la parte superior ser&aacute; $E_i==mgh=m *\\var{gravity}*\\var{altura}$ al llegar al final del plano inclinado, tendra solo energia cinetica </p>\n<p>$E_c=\\frac{1}{2 }mv^2$.</p>\n<p>Dado que no hay fuerzas no conservativas, la energia se conserva, por lo tanto $mgh=\\frac{1}{2} mv^2$.</p>\n<p>Por lo tanto $v=\\sqrt{2gh}=\\var{velocity}$</p>\n<p><strong>b)&nbsp;</strong>Al desplazarese por la superficie con roce, el cambio de energ&iacute;a cinetica ser&aacute;.</p>\n<p>$\\Delta E_c=E_{cf}-E_{ci}=-E_{ci}=-\\frac{1}{2} m v^2$</p>\n<p>Dado que hay fuerza no conservativa, el roce. El cambio de energ&iacute;a cinetica es igual al trabajo hecho por el roce,</p>\n<p>$W_r=-F_r d=-N \\mu d=-mg d=-\\frac{1}{2}mv^2$</p>\n<p>Por lo tanto,</p>\n<p></p>\n<p>$d=\\frac{v^2}{2g}=\\var{distancia}$</p>\n<p></p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"roce": {"name": "roce", "group": "Random Variables", "definition": "random(30..90)*0.01", "description": "", "templateType": "anything", "can_override": false}, "altura": {"name": "altura", "group": "Random Variables", "definition": "random(15..25)", "description": "<p>The mass of the block.</p>", "templateType": "anything", "can_override": false}, "gravity": {"name": "gravity", "group": "Constants", "definition": "9.8", "description": "", "templateType": "anything", "can_override": false}, "velocity": {"name": "velocity", "group": "Ungrouped variables", "definition": "sqrt(2*gravity*altura)", "description": "", "templateType": "anything", "can_override": false}, "distancia": {"name": "distancia", "group": "Ungrouped variables", "definition": "altura/roce", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["velocity", "distancia"], "variable_groups": [{"name": "Constants", "variables": ["gravity"]}, {"name": "Random Variables", "variables": ["altura", "roce"]}], "functions": {"draw_block": {"parameters": [], "type": "html", "language": "javascript", "definition": "//Set values\ndistance = Numbas.jme.unwrapValue(scope.variables.distance);\nmass = Numbas.jme.unwrapValue(scope.variables.mass);\n\n\n\n// The function provided by the JSXGraph extension wraps the board up in\n// a div tag so that it's easier to embed in the page.\nvar div = Numbas.extensions.jsxgraph.makeBoard('600px','260px',\n//{boundingBox: [-0.1,-0.1,1.,1.],\n    {boundingBox: [-0.1,0.8,2,-0.1],\n     axis: false,\n     showNavigation: false,\n     grid: false\n    });\n\n// div.board is the object created by JSXGraph, which you use to\n// manipulate elements\nvar board = div.board;\n\n\n\n// centre of the boxes\n\nvar b_x=0.3\nvar b_y=0.1\n\nvar b2_x=b_x+1.4\nvar b2_y=b_y\n\n\n\n//draw stuff\n\n\nvar ground = board.create('line',[[b_x-0.15,b_y-0.1],[b_x+0.15,b_y-0.1]], {straightFirst:true, straightLast:true, strokeColor: 'black', fixed: true });\n\nvar box1_1 = board.create('line',[[b_x-0.15,b_y-0.1],[b_x-0.15,b_y+0.1]], {straightFirst:false, straightLast:false, strokeColor: 'black', fixed: true });\n//\nvar box1_2 = board.create('line',[[b_x-0.15,b_y+0.1],[b_x+0.15,b_y+0.1]], {straightFirst:false, straightLast:false, strokeColor: 'black', fixed: true });\n//\nvar box1_2 = board.create('line',[[b_x+0.15,b_y+0.1],[b_x+0.15,b_y-0.1]], {straightFirst:false, straightLast:false, strokeColor: 'black', fixed: true });\n//\n//\nvar box1_1 = board.create('line',[[b2_x-0.15,b2_y-0.1],[b2_x-0.15,b2_y+0.1]], {straightFirst:false, straightLast:false, strokeColor: 'black', fixed: true , dash:1});\n//\nvar box1_2 = board.create('line',[[b2_x-0.15,b2_y+0.1],[b2_x+0.15,b2_y+0.1]], {straightFirst:false, straightLast:false, strokeColor: 'black', fixed: true, dash:1 });\n//\nvar box1_2 = board.create('line',[[b2_x+0.15,b2_y+0.1],[b2_x+0.15,b2_y-0.1]], {straightFirst:false, straightLast:false, strokeColor: 'black', fixed: true, dash:1 });\n\n\n//label the mass\n\nvar label_mass = board.create('text',[b_x-0.1,0.1,mass.toFixed(1)+'kg'],{fontSize:20});\n\n\n//label the distance\n\n\nvar label_dist = board.create('text',[0.94,0.1,distance+'m'],{fontSize:20,strokeColor: 'blue' });\nvar dist1 = board.create('line',[[b_x,b_y],[0.9,b_y]], {straightFirst:false, straightLast:false, strokeColor: 'blue', fixed: true, strokeWidth:1,strokeColorOpacity:0.5 });\nvar dist2 = board.create('line',[[1.1,b2_y],[b2_x,b2_y]], {straightFirst:false, straightLast:false, strokeColor: 'blue', fixed: true, strokeWidth:1,strokeColorOpacity:0.5, lastarrow:1 });\n\n// and return the container div\nreturn div;"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Determine la rapidez del esquiador en la parte inferior.</p>", "minValue": "velocity-2", "maxValue": "velocity+2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>&iquest;Qu&eacute; distancia recorre el esquiador sobre la superficie horizontal antes de llegar al reposo?</p>", "minValue": "distancia-2", "maxValue": "distancia+2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}]}], "allowPrinting": true, "navigation": {"allowregen": true, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "", "end_message": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": [], "enterreviewmodeimmediately": true, "showexpectedanswerswhen": "inreview", "showpartfeedbackmessageswhen": "always", "showactualmarkwhen": "always", "showtotalmarkwhen": "always", "showanswerstatewhen": "always", "showadvicewhen": "inreview"}, "diagnostic": {"knowledge_graph": {"topics": [], "learning_objectives": []}, "script": "diagnosys", "customScript": ""}, "type": "exam", "contributors": [{"name": "Ivan Munoz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18334/"}], "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [["question-resources/fig1_HhFpwhc.jpg", "/srv/numbas/media/question-resources/fig1_HhFpwhc.jpg"]]}