// Numbas version: finer_feedback_settings {"name": "MeQ8 - Kinetic & Potential Energy _ randomised variables only", "extensions": [], "custom_part_types": [], "resources": [["question-resources/ME_Q8.png", "/srv/numbas/media/question-resources/ME_Q8.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "MeQ8 - Kinetic & Potential Energy _ randomised variables only", "tags": [], "metadata": {"description": "

Trolley on a slope

Kinetic & Potential Energy

A trolley of total mass {MeQ8_Trolley_mass} kg is being manoeuvred down a ramp with a {MeQ8_Angle_of_Slope}^\u25e6 slope. During this motion, the trolley experiences a rolling resistance to its motion of {MeQ8_RollingResistance} N.

Whilst travelling at a velocity of {MeQ8_Trolley_v_Start} m/s, a braking force is applied, and the trolley is brought uniformly to rest in a distance (d) of {MeQ8_Distance_Travelled} m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant, acting to assist the braking force.

$\"Trolley$

During the period that the trolley is slowing down, calculate the following:

", "advice": "

see spreadsheet

", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"MeQ8_Trolley_mass": {"name": "MeQ8_Trolley_mass", "group": "Ungrouped variables", "definition": "random(45 .. 55#1)", "description": "

Trolley total mass

", "templateType": "randrange", "can_override": false}, "MeQ8_Angle_of_Slope": {"name": "MeQ8_Angle_of_Slope", "group": "Ungrouped variables", "definition": "random(3 .. 6#1)", "description": "

ramp slope.

", "templateType": "randrange", "can_override": false}, "MeQ8_RollingResistance": {"name": "MeQ8_RollingResistance", "group": "Ungrouped variables", "definition": "random(20 .. 26#1)", "description": "

resistance to its motion

", "templateType": "randrange", "can_override": false}, "MeQ8_Trolley_v_Start": {"name": "MeQ8_Trolley_v_Start", "group": "Ungrouped variables", "definition": "random(0.5 .. 1.5#0.2)", "description": "

Trolley initial velocity

", "templateType": "randrange", "can_override": false}, "MeQ8_Distance_Travelled": {"name": "MeQ8_Distance_Travelled", "group": "Ungrouped variables", "definition": "random(7 .. 17#1)", "description": "

trolley is brought uniformly to rest in a distance (d)

", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["MeQ8_Trolley_mass", "MeQ8_Angle_of_Slope", "MeQ8_RollingResistance", "MeQ8_Trolley_v_Start", "MeQ8_Distance_Travelled"], "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": "

Part a) The vertical height descended & change in potential energy.

[2 Marks]

"}, {"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": "

Part b) Its decrease in kinetic energy.

[2 Marks]

Part c) The work done against the rolling resistance.

[2 Marks]

Part d) The energy absorbed by the brakes.

[3 Marks]

Part e) The average braking force.

[2 Marks]

Part f) The deceleration.

[2 Marks]

Part g) The resultant decelerating force which acts on the truck parallel to the slope.

[2 Marks]

Ensure you include diagrams in your workings.

[5 Marks]

"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question", "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}]}]}], "contributors": [{"name": "Robert Bauld", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/19446/"}]}