// Numbas version: exam_results_page_options
{"name": "USSKL6-30-1 CC1b - Mechanics Written Assessment", "metadata": {"description": "<p>SbE Mechanics Resit Written Assessment</p>", "licence": "Creative Commons Attribution 4.0 International"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": false, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", "", ""], "variable_overrides": [[], [], [], []], "questions": [{"name": "MeQ1 - Vector Addition - Randomised Variables Only", "extensions": [], "custom_part_types": [], "resources": [["question-resources/UWESbeMeCC1_-_Q1_Vector_Addition.png", "/srv/numbas/media/question-resources/UWESbeMeCC1_-_Q1_Vector_Addition.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}], "tags": [], "metadata": {"description": "<p>3 Forces Applied to an Eye bolt.&nbsp; Use force components to calculate the Reaction force.</p>", "licence": "All rights reserved"}, "statement": "<h1 style=\"text-align: center;\">Vector Addition</h1>\n<p>Three wires cause three concurrent forces to act on an eye bolt.</p>\n<p><img src=\"resources/question-resources/UWESbeMeCC1_-_Q1_Vector_Addition.png\" alt=\"Eye bolt with 3 lines in tension attached at different angles\" width=\"447\" height=\"342\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<table style=\"height: 150px; width: 551px; border-style: solid; border-color: #000000; margin-left: auto; margin-right: auto;\" border=\"1\" height=\"174\">\n<thead>\n<tr style=\"background-color: #c3d3de; text-align: center;\">\n<td style=\"width: 112.521px; height: 18px;\"></td>\n<td style=\"width: 193.354px; height: 18px; text-align: center;\">Force</td>\n<td style=\"width: 194.792px; height: 18px; text-align: center;\">Angle from the x axis</td>\n</tr>\n<tr style=\"background-color: #c3d3de; text-align: center;\">\n<td style=\"width: 112.521px; height: 33px;\"></td>\n<td style=\"width: 193.354px; height: 33px; text-align: center;\">(N)</td>\n<td style=\"width: 194.792px; height: 33px; text-align: center;\">(&deg;)</td>\n</tr>\n</thead>\n<tbody>\n<tr style=\"height: 33px;\">\n<td style=\"width: 112.521px; height: 33px; text-align: center;\">Force 1</td>\n<td style=\"width: 193.354px; height: 33px; text-align: center;\">{Force1_Mag}</td>\n<td style=\"width: 194.792px; height: 33px; text-align: center;\">{Force1_Ang}</td>\n</tr>\n<tr style=\"height: 33px;\">\n<td style=\"width: 112.521px; height: 33px; text-align: center;\">Force 2</td>\n<td style=\"width: 193.354px; height: 33px; text-align: center;\">{Force2_Mag}</td>\n<td style=\"width: 194.792px; height: 33px; text-align: center;\">{Force2_Ang}</td>\n</tr>\n<tr style=\"height: 33px;\">\n<td style=\"width: 112.521px; height: 33px; text-align: center;\">Force 3</td>\n<td style=\"width: 193.354px; height: 33px; text-align: center;\">{Force3_Mag}</td>\n<td style=\"width: 194.792px; height: 33px; text-align: center;\">{Force3_Ang}</td>\n</tr>\n</tbody>\n</table>\n<p>For the <strong><u>reaction</u> </strong>force provided by the eye bolt, use force components to determine:</p>", "advice": "<p>worked solutions avaiable after exam</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"Force1_Mag": {"name": "Force1_Mag", "group": "Ungrouped variables", "definition": "random(50 .. 130#1)", "description": "<p>Magnitude of Force 1</p>", "templateType": "randrange", "can_override": false}, "Force1_Ang": {"name": "Force1_Ang", "group": "Ungrouped variables", "definition": "random(0 .. 60#1)", "description": "<p>Angle of Pull for Force 1</p>", "templateType": "randrange", "can_override": false}, "force2_mag": {"name": "force2_mag", "group": "Ungrouped variables", "definition": "random(70 .. 90#1)", "description": "", "templateType": "randrange", "can_override": false}, "force2_ang": {"name": "force2_ang", "group": "Ungrouped variables", "definition": "random(45 .. 90#1)", "description": "", "templateType": "randrange", "can_override": false}, "force3_Mag": {"name": "force3_Mag", "group": "Ungrouped variables", "definition": "random(50 .. 60#1)", "description": "", "templateType": "randrange", "can_override": false}, "force3_ang": {"name": "force3_ang", "group": "Ungrouped variables", "definition": "random(100 .. 180#1)", "description": "", "templateType": "randrange", "can_override": false}, "Force1_x": {"name": "Force1_x", "group": "Ungrouped variables", "definition": "Force1_Mag*\ncos(radians(force1_ang))\n", "description": "", "templateType": "anything", "can_override": false}, "Force1_y": {"name": "Force1_y", "group": "Ungrouped variables", "definition": "Force1_Mag*\nsin(radians(force1_ang))", "description": "", "templateType": "anything", "can_override": false}, "Force2_x": {"name": "Force2_x", "group": "Ungrouped variables", "definition": "Force2_Mag*\ncos(radians(force2_ang))\n", "description": "", "templateType": "anything", "can_override": false}, "Force2_y": {"name": "Force2_y", "group": "Ungrouped variables", "definition": "Force2_Mag*\nsin(radians(force2_ang))", "description": "", "templateType": "anything", "can_override": false}, "Force3_x": {"name": "Force3_x", "group": "Ungrouped variables", "definition": "Force3_Mag*\ncos(radians(force3_ang))", "description": "", "templateType": "anything", "can_override": false}, "Force3_y": {"name": "Force3_y", "group": "Ungrouped variables", "definition": "Force3_Mag*\nsin(radians(force3_ang))", "description": "", "templateType": "anything", "can_override": false}, "ForceT_x": {"name": "ForceT_x", "group": "Ungrouped variables", "definition": "Force1_x+Force2_x+Force3_x", "description": "", "templateType": "anything", "can_override": false}, "ForceT_y": {"name": "ForceT_y", "group": "Ungrouped variables", "definition": "Force1_y+Force2_y+Force3_y", "description": "", "templateType": "anything", "can_override": false}, "ForceT_Mag": {"name": "ForceT_Mag", "group": "Ungrouped variables", "definition": "((ForceT_x^2)+(ForceT_y^2))^0.5", "description": "", "templateType": "anything", "can_override": false}, "ForceT_Ang": {"name": "ForceT_Ang", "group": "Ungrouped variables", "definition": "degrees(arctan(ForceT_y/ForceT_x))", "description": "", "templateType": "anything", "can_override": true}, "Reaction_Mag": {"name": "Reaction_Mag", "group": "Ungrouped variables", "definition": "forcet_mag", "description": "", "templateType": "anything", "can_override": false}, "Reaction_Ang": {"name": "Reaction_Ang", "group": "Ungrouped variables", "definition": "180+forcet_ang", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["Force1_Mag", "Force1_Ang", "force2_mag", "force2_ang", "force3_Mag", "force3_ang", "Force1_x", "Force1_y", "Force2_x", "Force2_y", "Force3_x", "Force3_y", "ForceT_x", "ForceT_y", "ForceT_Mag", "ForceT_Ang", "Reaction_Mag", "Reaction_Ang"], "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> The magnitude.</p>\n<p><strong>[12 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> The direction. (Give answer to one decimal place).</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>Ensure you include a diagram in your workings.</p>\n<p><strong>[5 Marks]</strong></p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "MeQ5 - Centre of Gravity - Randomised Variables Only", "extensions": [], "custom_part_types": [], "resources": [["question-resources/UWESbeMeCC1_Q5_-_Centre_of_Gravity.png", "/srv/numbas/media/question-resources/UWESbeMeCC1_Q5_-_Centre_of_Gravity.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}], "tags": [], "metadata": {"description": "<p>Determinig the CoG of a composite part</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<h2 style=\"text-align: center;\">Centre of Gravity</h2>\n<p style=\"text-align: left;\">A component consists of 3 horizontal concentric solid cylinders, A, B &amp; C fixed together as shown in the diagram.</p>\n<p><img src=\"resources/question-resources/UWESbeMeCC1_Q5_-_Centre_of_Gravity.png\" alt=\"Component with multiple sections\" width=\"550\" height=\"416\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p>The dimensions and material properties are:</p>\n<table style=\"width: 568px; margin-left: auto; margin-right: auto; border-style: solid; border-color: #000000;\" height=\"282\">\n<tbody>\n<tr style=\"background-color: #b8b6b6; text-align: center;\">\n<td style=\"width: 68.125px; border-style: solid; border-color: #000000;\">\n<p>Cylinder</p>\n</td>\n<td style=\"width: 74.9219px; border-style: solid; border-color: #000000;\">\n<p>Material</p>\n</td>\n<td colspan=\"2\" style=\"width: 132.324px; border-style: solid; border-color: #000000;\">\n<p>Density &rho; (kgm<sup>-3</sup>)</p>\n</td>\n<td colspan=\"2\" style=\"width: 106.055px; border-style: solid; border-color: #000000;\">\n<p>Diameter (mm)</p>\n</td>\n<td colspan=\"2\" style=\"width: 104.062px; border-style: solid; border-color: #000000;\">\n<p>Length (mm)</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 68.125px; border-style: solid; border-color: #000000;\">\n<p>A</p>\n</td>\n<td style=\"width: 74.9219px; border-style: solid; border-color: #000000;\">\n<p>Aluminium Alloy</p>\n</td>\n<td style=\"width: 41.0352px; border-style: solid; border-color: #000000;\">\n<p>&rho;<sub>A</sub></p>\n</td>\n<td style=\"width: 75.0391px; border-style: solid; border-color: #000000;\">\n<p>{Den_a}</p>\n</td>\n<td style=\"width: 20.6836px; border-style: solid; border-color: #000000;\">\n<p>d<sub>A</sub></p>\n</td>\n<td style=\"width: 69.1211px; border-style: solid; border-color: #000000;\">\n<p>{Dia_a}</p>\n</td>\n<td style=\"width: 15.6836px; border-style: solid; border-color: #000000;\">\n<p>l<sub>A</sub></p>\n</td>\n<td style=\"width: 72.1289px; border-style: solid; border-color: #000000;\">\n<p>{Len_a}</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 68.125px; border-style: solid; border-color: #000000;\">\n<p>B</p>\n</td>\n<td style=\"width: 74.9219px; border-style: solid; border-color: #000000;\">\n<p>Copper Alloy</p>\n</td>\n<td style=\"width: 41.0352px; border-style: solid; border-color: #000000;\">\n<p>&rho;<sub>B</sub></p>\n</td>\n<td style=\"width: 75.0391px; border-style: solid; border-color: #000000;\">\n<p>{Den_b}</p>\n</td>\n<td style=\"width: 20.6836px; border-style: solid; border-color: #000000;\">\n<p>d<sub>B</sub></p>\n</td>\n<td style=\"width: 69.1211px; border-style: solid; border-color: #000000;\">\n<p>{Dia_b}</p>\n</td>\n<td style=\"width: 15.6836px; border-style: solid; border-color: #000000;\">\n<p>l<sub>B</sub></p>\n</td>\n<td style=\"width: 72.1289px; border-style: solid; border-color: #000000;\">\n<p>{Len_b}</p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 68.125px; border-style: solid; border-color: #000000;\">\n<p>C</p>\n</td>\n<td style=\"width: 74.9219px; border-style: solid; border-color: #000000;\">\n<p>Steel</p>\n</td>\n<td style=\"width: 41.0352px; border-style: solid; border-color: #000000;\">\n<p>&rho;<sub>C</sub></p>\n</td>\n<td style=\"width: 75.0391px; border-style: solid; border-color: #000000;\">\n<p>{Den_c}</p>\n</td>\n<td style=\"width: 20.6836px; border-style: solid; border-color: #000000;\">\n<p>d<sub>C</sub></p>\n</td>\n<td style=\"width: 69.1211px; border-style: solid; border-color: #000000;\">\n<p>{Dia_c}</p>\n</td>\n<td style=\"width: 15.6836px; border-style: solid; border-color: #000000;\">\n<p>l<sub>C</sub></p>\n</td>\n<td style=\"width: 72.1289px; border-style: solid; border-color: #000000;\">\n<p>{Len_c}</p>\n</td>\n</tr>\n</tbody>\n</table>\n<p></p>", "advice": "<p>.</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"Den_a": {"name": "Den_a", "group": "Ungrouped variables", "definition": "random(2650 .. 2750#20)", "description": "", "templateType": "randrange", "can_override": false}, "Den_b": {"name": "Den_b", "group": "Ungrouped variables", "definition": "random(8900 .. 8990#10)", "description": "", "templateType": "randrange", "can_override": false}, "Den_c": {"name": "Den_c", "group": "Ungrouped variables", "definition": "random(7830 .. 7890#5)", "description": "", "templateType": "randrange", "can_override": false}, "Dia_a": {"name": "Dia_a", "group": "Ungrouped variables", "definition": "random(25 .. 35#5)", "description": "", "templateType": "randrange", "can_override": false}, "Dia_b": {"name": "Dia_b", "group": "Ungrouped variables", "definition": "random(50 .. 70#5)", "description": "", "templateType": "randrange", "can_override": false}, "Dia_c": {"name": "Dia_c", "group": "Ungrouped variables", "definition": "random(30 .. 45#1)", "description": "", "templateType": "randrange", "can_override": false}, "Len_a": {"name": "Len_a", "group": "Ungrouped variables", "definition": "random(180 .. 220#10)", "description": "", "templateType": "randrange", "can_override": false}, "Len_b": {"name": "Len_b", "group": "Ungrouped variables", "definition": "random(120 .. 160#5)", "description": "", "templateType": "randrange", "can_override": false}, "Len_c": {"name": "Len_c", "group": "Ungrouped variables", "definition": "random(25 .. 50#5)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["Den_a", "Den_b", "Den_c", "Dia_a", "Dia_b", "Dia_c", "Len_a", "Len_b", "Len_c"], "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> Calculate the total volume of the component.</p>\n<p><strong>[4 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>Calculate the total mass of the component.</p>\n<p><strong>[4 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>Calculate the total weight of the component.</p>\n<p><strong>[2 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>Calculate the coordinate of the Centre of Gravity along its length.</p>\n<p><strong>[5 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>Ensure you show the position of the CoG on a diagram in your workings.</p>\n<p><strong>[5 Marks]</strong></p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "MeQ4 - Kinematics - Randomised Variables Only", "extensions": [], "custom_part_types": [], "resources": [["question-resources/UWESbeMeCC1_Q4_-_Kinematics.png", "/srv/numbas/media/question-resources/UWESbeMeCC1_Q4_-_Kinematics.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}], "tags": [], "metadata": {"description": "<p>Rocket Launched to zenith</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<h2 style=\"text-align: center;\">Kinematics</h2>\n<p>At t<sub>0</sub>, a small rocket of mass {Rocket_Mass} kg is launched vertically from rest and it accelerates uniformly at {Rocket_Acc} ms<sup>-2</sup> for a period of {Time_1} s, at which point all of the fuel is used(t<sub>1</sub>).&nbsp;</p>\n<p>The rocket then continues to travel freely in the vertical direction until it eventually reaches its maximum altitude (t<sub>2</sub>), after which it falls to earth and impacts the ground at exactly the same height it was launched (t<sub>3</sub>).</p>\n<p><img src=\"resources/question-resources/UWESbeMeCC1_Q4_-_Kinematics.png\" alt=\"rocket at launch, when fuel runs out, at apex and at impact\" width=\"509\" height=\"286\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"Acc_Grav": {"name": "Acc_Grav", "group": "Ungrouped variables", "definition": "9.81", "description": "<p>Acceleration due to gravity.</p>", "templateType": "number", "can_override": false}, "Rocket_Acc": {"name": "Rocket_Acc", "group": "Ungrouped variables", "definition": "random(20 .. 25#1)", "description": "", "templateType": "randrange", "can_override": false}, "Rocket_Mass": {"name": "Rocket_Mass", "group": "Ungrouped variables", "definition": "random(40 .. 60#5)", "description": "", "templateType": "randrange", "can_override": false}, "Time_1": {"name": "Time_1", "group": "Ungrouped variables", "definition": "random(10 .. 15#1)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["Acc_Grav", "Rocket_Acc", "Rocket_Mass", "Time_1"], "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> Calculate the rocket&rsquo;s velocity&nbsp;at the instant (t<sub>1</sub>) when all of the fuel is used.</p>\n<p><strong>[2 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> Calculate the altitude (m) at the instant (t<sub>1</sub>) when all of the fuel is used.</p>\n<p><strong>[2Marks]</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 time it takes to reach the maximum altitude.</p>\n<p><strong>[4Marks]</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> The maximum altitude reached.</p>\n<p><strong>[4 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 e)</strong> Its velocity at the instant (t<sub>3</sub>) just prior to impact with the ground.</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>Ensure you indicate the relative kinematic values of the rocket on a diagram in your workings.</p>\n<p><strong>[5 Marks]</strong></p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "MeQ6 - Friction & Kinetics - Randomised Variables Only", "extensions": [], "custom_part_types": [], "resources": [["question-resources/UWESbeMeCC1_Q6_-_Friction__Kinematics.png", "/srv/numbas/media/question-resources/UWESbeMeCC1_Q6_-_Friction__Kinematics.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}], "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": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "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 f)</strong> Calculate the kinetic energy (J) gained by 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>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"}]}], "allowPrinting": true, "navigation": {"allowregen": false, "reverse": false, "browse": false, "allowsteps": false, "showfrontpage": false, "showresultspage": "never", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": false, "typeendtoleave": false, "startpassword": "", "allowAttemptDownload": false, "downloadEncryptionKey": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": false, "showtotalmark": false, "showanswerstate": false, "allowrevealanswer": false, "advicethreshold": 0, "intro": "<h2><span style=\"text-decoration: underline;\">Mechanics Written Assessment Instructions</span></h2>\n<p></p>\n<ul>\n<li>Ensure you have typed your UWE Candidate No. into the Sheet ID.&nbsp;</li>\n<li>If you have forgotten to type you UWE Candidate No. in, click the \"generate different sheets\" button and type the number into the \"start with ID box\"</li>\n<li>Please tick the \"page break between questions\" radio button.</li>\n<li>Click the \"print this sheet button\" to generate a pdf of the paper (with your UWE Candidate NO. on).</li>\n<li>For your submission, you will need to submit the pdf of this paper and a copies of your answer sheets.&nbsp;&nbsp;</li>\n</ul>\n<p></p>\n<ul>\n<li>You have 4 hours from when you start the assessment to submit your answers.&nbsp;</li>\n<li>Refer to the <a href=\"https://uweacuk.sharepoint.com/:w:/r/sites/USSKL6-30-1_23sep_1Members/Shared%20Documents/SbE%20Combined%20Assessment/USSKL6-30-1%20CC1R%20202407%20-SbE%20RESIT%20Written%20Assessment%20%20Guidelines%20v.2.docx?d=wc2889747ca08499093eb8711b6565090&amp;csf=1&amp;web=1&amp;e=M5U3XX\" target=\"_blank\" rel=\"noopener\">guidance document</a> for more detail on the Assessment.</li>\n<li>Candidates should answer 2 out of the 3 questions &nbsp;</li>\n</ul>\n<p>&nbsp;</p>\n<p>Ver 1.1</p>", "end_message": "", "reviewshowscore": false, "reviewshowfeedback": false, "reviewshowexpectedanswer": false, "reviewshowadvice": false, "results_options": {"printquestions": true, "printadvice": true}, "feedbackmessages": []}, "diagnostic": {"knowledge_graph": {"topics": [], "learning_objectives": []}, "script": "diagnosys", "customScript": ""}, "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}], 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