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{"name": "Gardener & Solutions", "extensions": [], "custom_part_types": [], "resources": [["question-resources/vect9.png", "/srv/numbas/media/question-resources/vect9.png"], ["question-resources/hw2sol3.png", "/srv/numbas/media/question-resources/hw2sol3.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Gardener & Solutions", "tags": [], "metadata": {"description": "<p>resultant force</p>", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p><img src=\"resources/question-resources/vect9.png\" width=\"303\" height=\"247\"/></p>\n<p>While emptying a wheelbarrow, a gardener exerts on each handle <em>AB</em> a force <strong>P</strong> directed along line <em>CD</em>. Knowing that <strong>P</strong> must have a {Rx}N&nbsp;horizontal component,&nbsp;determine&nbsp;</p>", "advice": "<p>(a) Sketch the force and its components as a right-angle triangle:</p>\n<p><img src=\"resources/question-resources/hw2sol3.png\" width=\"166\" height=\"133\"/></p>\n<p style=\"text-align: center;\">$P=\\dfrac{P_x}{\\cos 40^\\circ}=\\var{R}\\;\\text{N}\\quad\\blacktriangleleft$</p>\n<p>(b)</p>\n<p style=\"text-align: center;\">$P_y=P_x \\tan 40^\\circ=\\var{Ry}\\;\\text{N}\\quad\\blacktriangleleft$</p>", "rulesets": {}, "extensions": [], "variables": {"Rx": {"name": "Rx", "group": "Ungrouped variables", "definition": "random(80 .. 160#10)", "description": "", "templateType": "randrange"}, "R": {"name": "R", "group": "Ungrouped variables", "definition": "precround({Rx}/cos(radians(40)),1)", "description": "", "templateType": "anything"}, "Ry": {"name": "Ry", "group": "Ungrouped variables", "definition": "precround({Rx}*tan(radians(40)),1)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["Rx", "R", "Ry"], "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": "<p>the magnitude of the force <strong>P</strong>,&nbsp;</p>", "minValue": "{R}-0.1", "maxValue": "{R}+0.1", "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>its&nbsp;vertical component.</p>", "minValue": "{Ry}-0.1", "maxValue": "{Ry}+0.1", "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", "contributors": [{"name": "Vladimir Vingoradov", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1862/"}]}]}], "contributors": [{"name": "Vladimir Vingoradov", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1862/"}]}