// Numbas version: exam_results_page_options
{"name": "Hydrostatic thrust laboratory", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Hydrostatic thrust laboratory", "tags": [], "metadata": {"description": "Attempt 1 at creating a Numbas-based representation of the Hydrostatic Thrust laboratory for 1st stage Engineering students at Newcastle University.&nbsp;", "licence": "All rights reserved"}, "statement": "<p>Based on your lab measurements, calculate the theoretical balancing mass corresponding to each of the five depths registered in the lab. You will need to calculate multiple intermediate variables at each depth, these are the hydrostatic thrust, F [N]; the depth of the centre of pressure, h0 [m]; and the turning moment at the pivot, M [Nm]. The details on how to calculate these variables is present in the lab handouts available [HERE].&nbsp;</p>", "advice": "<p>For a partially submerged plane, e.g. when using the 0.15 kg mass, we have:</p>\n<p>Using an example result for&nbsp;submerged depth, d = {d3} [m]&nbsp; &nbsp; &nbsp;&nbsp;</p>\n<p>The hydrostatic thrust, F = g*rho*A*h_bar = 9.81*1000*(0.075*{d3})*({d3}/2) = {F3} [N]</p>\n<p>The depth of the centre of pressure, h<sub>0</sub> = 2/3*d = 2*{d3}/3 = {h_03} [m]</p>\n<p>The moment at the pivot, M = F*h\" = F*(h<sub>0</sub>+(H-d)) = {F3}*({h_03}+0.2-{d3}) = {M3} [Nm]</p>\n<p>Finally, the theoretical balancing mass, m<sub>th&nbsp;</sub>= M/(L*g) = {M3}/(0.275*9.81) = {tM3} [kg]</p>\n<p></p>\n<p>For a completely submerged plane, e.g. when using the 0.33 kg mass, we have:</p>\n<p>Example d = {d5} [m]</p>\n<p>The hydrostatic thrust F =&nbsp;g*rho*A*h_bar, where A = BD and h_bar = d - D/2, therefore: F = 9.81*1000*(0.075*0.1)*({d5}-0.1/2) = {F5s} [N]</p>\n<p>The depth of the centre of pressure,&nbsp;h<sub>0</sub> = h_bar + I<sub>g</sub>/(A*h_bar), where&nbsp;I<sub>g</sub>&nbsp;= BD<sup>3</sup>/12, therefore&nbsp;h<sub>0</sub>&nbsp;=&nbsp;({d5}-0.1/2)+((0.075*0.1^3)/12)/((0.075*0.1)*({d5}-0.1/2)) =&nbsp; {h_05s} [m]</p>\n<p>The moment at the pivot, M = F*h\" = F*(h<sub>0</sub>+(H-d)) = {F5s}*({h_05s}+0.2-{d5}) = {M5s} [Nm]</p>\n<p>Finally, the theoretical balancing mass, m<sub>th&nbsp;</sub>= M/(L*g) = {M5s}/(0.275*9.81) = {tM5s} [kg]</p>\n<p></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"d1": {"name": "d1", "group": "Ungrouped variables", "definition": "0.043", "description": "", "templateType": "anything", "can_override": false}, "F1": {"name": "F1", "group": "Ungrouped variables", "definition": "9.81*1000*(B_width*d1)*(d1/2)", "description": "<p>Hydrostatic thrust at the first mass' depth.&nbsp;</p>", "templateType": "anything", "can_override": false}, "h0_1": {"name": "h0_1", "group": "Ungrouped variables", "definition": "2/3*d1", "description": "<p>Depth of centre of pressure 1 [m]</p>", "templateType": "anything", "can_override": false}, "M1": {"name": "M1", "group": "Ungrouped variables", "definition": "F1*(h0_1+0.2-d1)", "description": "<p>Turning moment at pivot [Nm]</p>", "templateType": "anything", "can_override": false}, "tM1": {"name": "tM1", "group": "Ungrouped variables", "definition": "M1/(0.275*9.81)", "description": "<p>Theoretical Balancing Mass [kg]</p>", "templateType": "anything", "can_override": false}, "d2": {"name": "d2", "group": "Second mass", "definition": "0.062", "description": "", "templateType": "anything", "can_override": false}, "F2": {"name": "F2", "group": "Second mass", "definition": "9.81*1000*(B_width*d2)*(d2/2)", "description": "", "templateType": "anything", "can_override": false}, "h0_2": {"name": "h0_2", "group": "Second mass", "definition": "2/3*d2", "description": "<p>Centre of pressure (measured from water surface) (m)</p>", "templateType": "anything", "can_override": false}, "M2": {"name": "M2", "group": "Second mass", "definition": "F2*(h0_2 + H_base_pivot - d2)", "description": "<p>Moment at pivot (Nm)</p>", "templateType": "anything", "can_override": false}, "tM2": {"name": "tM2", "group": "Second mass", "definition": "M2/(0.275*9.81)", "description": "", "templateType": "anything", "can_override": false}, "d3": {"name": "d3", "group": "Third mass", "definition": "0.08", "description": "", "templateType": "anything", "can_override": false}, "F3": {"name": "F3", "group": "Third mass", "definition": "9.81*1000*(B_width*d3)*(d3/2)", "description": "", "templateType": "anything", "can_override": false}, "h0_3": {"name": "h0_3", "group": "Third mass", "definition": "2/3*d3", "description": "<p>Centre of pressure (measured from water surface) (m)</p>", "templateType": "anything", "can_override": false}, "M3": {"name": "M3", "group": "Third mass", "definition": "F3*(h0_3 + H_base_pivot - d3)", "description": "<p>Moment at pivot (Nm)</p>", "templateType": "anything", "can_override": false}, "tM3": {"name": "tM3", "group": "Third mass", "definition": "M3/(0.275*9.81)", "description": "", "templateType": "anything", "can_override": false}, "d4": {"name": "d4", "group": "Fourth mass", "definition": "0.124", "description": "", "templateType": "anything", "can_override": false}, "F4": {"name": "F4", "group": "Fourth mass", "definition": "9.81*1000*(B_width*d4)*(d4/2)", "description": "", "templateType": "anything", "can_override": false}, "h0_4": {"name": "h0_4", "group": "Fourth mass", "definition": "2/3*d4", "description": "<p>Centre of pressure (measured from water surface) (m)</p>", "templateType": "anything", "can_override": false}, "M4": {"name": "M4", "group": "Fourth mass", "definition": "F4*(h0_4 + H_base_pivot - d4)", "description": "", "templateType": "anything", "can_override": false}, "tM4": {"name": "tM4", "group": "Fourth mass", "definition": "M4/(L*9.81)", "description": "<p>Moment at pivot (Nm)</p>", "templateType": "anything", "can_override": false}, "F4s": {"name": "F4s", "group": "Fourth mass", "definition": "9.81*1000*(0.075*0.1)*(d4-0.1/2)", "description": "<p>Submerged case</p>", "templateType": "anything", "can_override": false}, "h0_4s": {"name": "h0_4s", "group": "Fourth mass", "definition": "(d4-0.1/2)+((0.075*0.1^3)/12)/((0.075*0.1)*(d4-0.1/2))", "description": "", "templateType": "anything", "can_override": false}, "M4s": {"name": "M4s", "group": "Fourth mass", "definition": "F4s*(h0_4s + H_base_pivot - d4)", "description": "<p>Moment at pivot (Nm)</p>", "templateType": "anything", "can_override": false}, "tM4s": {"name": "tM4s", "group": "Fourth mass", "definition": "M4s/(0.275*9.81)", "description": "", "templateType": "anything", "can_override": false}, "d5": {"name": "d5", "group": "Fifth mass", "definition": "0.124", "description": "", "templateType": "anything", "can_override": false}, "F5": {"name": "F5", "group": "Fifth mass", "definition": "9.81*1000*(B_width*0.1)*(d5-0.1/2)", "description": "", "templateType": "anything", "can_override": false}, "h0_5s": {"name": "h0_5s", "group": "Fifth mass", "definition": "(d5-0.1/2)+((0.075*0.1^3)/12)/((0.075*0.1)*(d5-0.1/2))", "description": "<p>Centre of pressure (measured from water surface) (m)</p>", "templateType": "anything", "can_override": false}, "M5": {"name": "M5", "group": "Fifth mass", "definition": "F5*(h0_5s + H_base_pivot - d5)", "description": "", "templateType": "anything", "can_override": false}, "tM5s": {"name": "tM5s", "group": "Fifth mass", "definition": "M5/(L*9.81)", "description": "", "templateType": "anything", "can_override": true}, "h_03": {"name": "h_03", "group": "Ungrouped variables", "definition": "", "description": "", "templateType": "anything", "can_override": false}, "h_05s": {"name": "h_05s", "group": "Ungrouped variables", "definition": "", "description": "", "templateType": "anything", "can_override": false}, "L": {"name": "L", "group": "Ungrouped variables", "definition": "0.275", "description": "<p>Distance from weight hanger to pivot (m)</p>", "templateType": "anything", "can_override": false}, "H_base_pivot": {"name": "H_base_pivot", "group": "Ungrouped variables", "definition": "0.2", "description": "<p>Distance from base of quadrant face to pivot (m)</p>", "templateType": "anything", "can_override": false}, "D_quad_ht": {"name": "D_quad_ht", "group": "Ungrouped variables", "definition": "0.1", "description": "<p>Height of vertical quadrant face (m)</p>", "templateType": "anything", "can_override": false}, "B_width": {"name": "B_width", "group": "Ungrouped variables", "definition": "0.075", "description": "<p>Width of vertical quadrant face (m)</p>", "templateType": "anything", "can_override": false}, "M_exp1": {"name": "M_exp1", "group": "Ungrouped variables", "definition": "0.05", "description": "<p>Experimental balancing mass 1 (kg)</p>", "templateType": "anything", "can_override": false}, "M_exp2": {"name": "M_exp2", "group": "Second mass", "definition": "0.1", "description": "<p>Experimental balancing mass 2 (kg)</p>", "templateType": "anything", "can_override": false}, "M_exp3": {"name": "M_exp3", "group": "Third mass", "definition": "0.15", "description": "<p>Experimental balancing mass 3 (kg)</p>", "templateType": "anything", "can_override": false}, "M_exp4": {"name": "M_exp4", "group": "Fourth mass", "definition": "0.23", "description": "<p>Experimental balancing mass 4 (kg)</p>", "templateType": "anything", "can_override": false}, "m_exp5": {"name": "m_exp5", "group": "Fifth mass", "definition": "0.33", "description": "<p>Experimental balancing mass 5 (kg)</p>", "templateType": "anything", "can_override": false}, "f5s": {"name": "f5s", "group": "Ungrouped variables", "definition": "", "description": "", "templateType": "anything", "can_override": false}, "m5s": {"name": "m5s", "group": "Ungrouped variables", "definition": "", "description": "", "templateType": "anything", "can_override": false}, "tm5s": {"name": "tm5s", "group": "Ungrouped variables", "definition": "", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["L", "H_base_pivot", "D_quad_ht", "B_width", "M_exp1", "d1", "F1", "h0_1", "M1", "tM1", "h_03", "h_05s", "f5s", "m5s", "tm5s"], "variable_groups": [{"name": "Second mass", "variables": ["M_exp2", "d2", "F2", "h0_2", "M2", "tM2"]}, {"name": "Third mass", "variables": ["M_exp3", "d3", "F3", "h0_3", "M3", "tM3"]}, {"name": "Fourth mass", "variables": ["M_exp4", "d4", "F4", "h0_4", "M4", "tM4", "F4s", "h0_4s", "M4s", "tM4s"]}, {"name": "Fifth mass", "variables": ["m_exp5", "d5", "F5", "h0_5s", "M5", "tM5s"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "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>Write the depth of immersion when using the 0.05 kg mass: [[0]]</p>\n<p>Write the corresponding theoretical balancing mass: [[1]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "0.04", "maxValue": "0.06", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "d1", "part": "p0g0", "must_go_first": false}], "variableReplacementStrategy": "alwaysreplace", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "tM1", "maxValue": "tM1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "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>Write the depth of immersion when using the 0.10 kg mass: [[0]]</p>\n<p>Write the corresponding theoretical balancing mass: [[1]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "0.05", "maxValue": "0.07", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "d2", "part": "p0g0", "must_go_first": false}], "variableReplacementStrategy": "alwaysreplace", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "tM2", "maxValue": "tM2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "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>Write the depth of immersion when using the 0.15 kg mass: [[0]]</p>\n<p>Write the corresponding theoretical balancing mass: [[1]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "0.07", "maxValue": "0.09", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "d3", "part": "p0g0", "must_go_first": false}], "variableReplacementStrategy": "alwaysreplace", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "tM3", "maxValue": "tM3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "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>If the plane was partially submerged answer this part, otherwise answer part e).&nbsp;</p>\n<p>Write the depth of immersion when using the 0.23 kg mass: [[0]]</p>\n<p>Write the corresponding theoretical balancing mass: [[1]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "0.095", "maxValue": "0.105", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "d4", "part": "p0g0", "must_go_first": false}], "variableReplacementStrategy": "alwaysreplace", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "tM4", "maxValue": "tM4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "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>Answer this part if the plane was&nbsp;completely submerged when using the 0.23 kg mass.&nbsp;</p>\n<p>Write the depth of immersion when using the 0.23 kg mass: [[0]]</p>\n<p>Write the corresponding theoretical balancing mass: [[1]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "0.095", "maxValue": "0.105", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "d4", "part": "p4g0", "must_go_first": false}], "variableReplacementStrategy": "alwaysreplace", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "tM4s-0.001", "maxValue": "tM4s+0.001", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "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>Write the depth of immersion when using the 0.33 kg mass: [[0]]</p>\n<p>Write the corresponding theoretical balancing mass: [[1]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "0.120", "maxValue": "0.130", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "d5", "part": "p5g0", "must_go_first": false}], "variableReplacementStrategy": "alwaysreplace", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "tM5s-0.001", "maxValue": "tM5s+0.001", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Caspar Hewett", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3819/"}, {"name": "Roberto Villalobos Herrera", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4586/"}]}]}], "contributors": [{"name": "Caspar Hewett", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3819/"}, {"name": "Roberto Villalobos Herrera", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4586/"}]}