// Numbas version: finer_feedback_settings {"name": "FIS5047_S5_Numbas", "metadata": {"description": "", "licence": "None specified"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", ""], "variable_overrides": [[], []], "questions": [{"name": "Torque", "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": "
Las llantas de un automóvil de {masa} kg tienen {diametro} m de diámetro y
los coeficientes de fricción estatico y cinetico con la superficie de la carretera son
$\\mu_s= ${roces} y $\\mu_k =$ {rocek}, respectivamente. Suponiendo que el peso es
distribuido uniformemente en las cuatro ruedas.
a) En cada rueda, la masa sera $m=\\frac{\\var{masa}}{4}$. Entonces la fuerza de roce $F_r=\\mu_s N=\\mu_s \\frac{m}{4} g=\\var{roces}\\cdot\\frac{\\var{masa}}{4}\\cdot \\var{g}$. Por lo tanto
\n$\\tau=\\frac{D}{2} F_r=\\var{diametro}*\\var{roces}*\\frac{\\var{masa}}{4}*\\var{g}$.
\n\nb) Es lo mismo de parte a) pero hay que considerar el coeficiente de roce cinético
", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"masa": {"name": "masa", "group": "Ungrouped variables", "definition": "random([1500,1600,1700,1800])", "description": "", "templateType": "anything", "can_override": false}, "diametro": {"name": "diametro", "group": "Ungrouped variables", "definition": "random([3/10, 4/10,5/10])", "description": "", "templateType": "anything", "can_override": false}, "roces": {"name": "roces", "group": "Ungrouped variables", "definition": "random([0.2, 0.3, 0.4])", "description": "", "templateType": "anything", "can_override": false}, "rocek": {"name": "rocek", "group": "Ungrouped variables", "definition": "roces-0.04", "description": "", "templateType": "anything", "can_override": false}, "g": {"name": "g", "group": "Ungrouped variables", "definition": "9.8", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["masa", "diametro", "roces", "rocek", "g"], "variable_groups": [], "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": "Calcule el máximo torque que puede ejercer el motor sobre un rueda motriz sin girar la rueda. Puedes asumir que el automóvil está en reposo.
", "minValue": "diametro*roces*masa*g/8*1.1", "maxValue": "diametro*roces*masa*g/8*0.9", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "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": "Calcule el máximo torque que puede ejercer el motor sobre un rueda motriz si la rueda gira.
", "minValue": "diametro*rocek*masa*g/8*1.1", "maxValue": "diametro*rocek*masa*g/8*1.1", "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": "momentum 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Amy Chadwick", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/505/"}, {"name": "Ivan Munoz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/18334/"}], "tags": [], "metadata": {"description": "Encuentre el momentum de los siguientes objetos usando $p= mv$.
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "Encuentre la magnitud del momentum, $p$, de los siguientes objetos. Sus resultados deben estar en unidades de $N \\cdot s$
", "advice": "El momentum $p = $ mass $\\mathrm{kg} \\ \\times $ velocity $\\mathrm{ms^{-1}}$.
\nEsto nos entregara el momentum en $N\\cdot s$.
\nTenemos
\n\\begin{align}
p & = \\frac{\\var{mass1}}{1000} \\times \\var{velocity1}, \\\\
&= \\var{precround(kg1*velocity1,3)} \\, \\mathrm{Ns}.
\\end{align}
La magnitud del momentum será $\\var{precround(kg1*velocity1,3)} \\, \\mathrm{Ns}.$
\nTenemos
\n\\begin{align}
p & = (\\var{tonnes1} \\times 1000) \\times \\var{velocity2}, \\\\
& = \\var{precround(tonnes1*1000*velocity2,3)} \\, \\mathrm{Ns}.
\\end{align}
La magnitud del momentum será $\\var{precround(tonnes1*1000*velocity2,3)} \\, \\mathrm{Ns}.$
", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"kg1": {"name": "kg1", "group": "Ungrouped variables", "definition": "mass1/1000", "description": "", "templateType": "anything", "can_override": false}, "kg2": {"name": "kg2", "group": "Ungrouped variables", "definition": "tonnes1*1000", "description": "", "templateType": "anything", "can_override": false}, "mass1": {"name": "mass1", "group": "Ungrouped variables", "definition": "random(200 .. 1000#10)", "description": "masa en gramos
", "templateType": "randrange", "can_override": false}, "velocity2": {"name": "velocity2", "group": "Ungrouped variables", "definition": "random(0.2 .. 1.6#0.05)", "description": "", "templateType": "randrange", "can_override": false}, "velocity1": {"name": "velocity1", "group": "Ungrouped variables", "definition": "random(2 .. 20#1)", "description": "", "templateType": "randrange", "can_override": false}, "tonnes1": {"name": "tonnes1", "group": "Ungrouped variables", "definition": "random(0.5 .. 10#0.5)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["mass1", "kg1", "velocity1", "tonnes1", "kg2", "velocity2"], "variable_groups": [], "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": "Una particula de masa $\\var{mass1} \\mathrm{g}$ se mueve a velocidad $\\var{velocity1} \\mathrm{ms^{-1}}$.
", "minValue": "kg1*velocity1", "maxValue": "kg1*velocity1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "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": "Un camion de masa $\\var{tonnes1} \\ \\mathrm{tonnes}$ se mueve a velocidad $\\var{velocity2} \\mathrm{ms^{-1}}$.
", "minValue": "kg2*velocity2", "maxValue": "kg2*velocity2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "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": [], "custom_part_types": [], "resources": []}