// Numbas version: finer_feedback_settings
{"name": "MeQ6 - Friction & Kinetics - Randomised Variables Only", "extensions": [], "custom_part_types": [], "resources": [["question-resources/UWESbeMeCC1_Q6_-_Friction__Kinematics.png", "UWESbeMeCC1_Q6_-_Friction__Kinematics.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "MeQ6 - Friction & Kinetics - Randomised Variables Only", "tags": [], "metadata": {"description": "<p>Friction and Accelration of a block with 2 forces applied</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p></p>\n<p>A block of mass {Block_Mass} kg rests on a rough horizontal surface, and is subjected to a pushing force of {Push_1} N acting downwards on the block on the left hand side at an angle of {Alpha} &deg; to the horizontal, and pulling force of {Pull_2} N acting upwards on the block on the right hand side at an angle of {Beta} &deg; to the horizontal and shown:</p>\n<p><img src=\"resources/question-resources/UWESbeMeCC1_Q6_-_Friction__Kinematics.png\" alt=\"Block on a rough surface with a push and pull force acting on it\" width=\"586\" height=\"236\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p style=\"text-align: right;\"><em>Drawing is not to scale</em></p>\n<p style=\"text-align: right;\"><em></em></p>\n<p style=\"text-align: left;\">Given that the block is on the verge of slipping, calculate:</p>", "advice": "<p>.</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"Block_Mass": {"name": "Block_Mass", "group": "Ungrouped variables", "definition": "random(70 .. 95#5)", "description": "", "templateType": "randrange", "can_override": false}, "Push_1": {"name": "Push_1", "group": "Ungrouped variables", "definition": "random(200 .. 210#1)", "description": "", "templateType": "randrange", "can_override": false}, "Pull_2": {"name": "Pull_2", "group": "Ungrouped variables", "definition": "random(125 .. 140#1)", "description": "", "templateType": "randrange", "can_override": false}, "Alpha": {"name": "Alpha", "group": "Ungrouped variables", "definition": "random(55 .. 70#3)", "description": "", "templateType": "randrange", "can_override": false}, "Beta": {"name": "Beta", "group": "Ungrouped variables", "definition": "random(25 .. 45#1)", "description": "", "templateType": "randrange", "can_override": false}, "Block_vel": {"name": "Block_vel", "group": "Ungrouped variables", "definition": "random(4 .. 5#0.15)", "description": "", "templateType": "randrange", "can_override": false}, "Time_block": {"name": "Time_block", "group": "Ungrouped variables", "definition": "random(2 .. 2.5#0.07)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["Block_Mass", "Push_1", "Pull_2", "Alpha", "Beta", "Block_vel", "Time_block"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><strong>Part a)</strong>&nbsp; The normal reaction between the block and the surface.</p>\n<p><strong>[3 Marks]</strong></p>"}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><strong>Part b)</strong>&nbsp; The limiting frictional force (N).</p>\n<p><strong>[3 Marks]</strong></p>"}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><strong>Part c)</strong> The coefficient of friction.</p>\n<p><strong>[3 Marks]</strong></p>"}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><strong>Part d)</strong> If the block begins to slide and accelerates from rest to {4.6} ms<sup>-1</sup> in {2.18} seconds</p>\n<p>Calculate the acceleration of the block .</p>\n<p><strong>[3Marks]</strong></p>"}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><strong>Part e)</strong> Once the block reaches the maximum velocity, P<sub>1</sub> and P<sub>2</sub> are removed leaving only the frictional force acting on the block.&nbsp; How far (m) will it travel before it comes to rest.</p>\n<p><strong>[3Marks]</strong></p>"}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Ensure you include a free body diagram in your workings.</p>\n<p><strong>[5 Marks]</strong></p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}], "resources": ["question-resources/UWESbeMeCC1_Q6_-_Friction__Kinematics.png"]}]}], "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}]}