Kinetic energy knm
kinetic_energy_knm
Unmodified vessel kinetic energy
Scores if within ±3% of the reference value.
Calculates characteristic and design berthing energy for a vessel from displacement, approach velocity, hydrodynamic and berth coefficients, and an explicit safety factor. The template applies the kinetic energy relationship E = 0.5 M V^2 and multiplies by the provided marine design coefficients.
with-tool: The model is given an executable Python calculator script.
Standards
One template produces many comparable benchmark tasks while keeping the scoring contract fixed.
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The reusable contract shown on this page.
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An archetype and site context are sampled.
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Inputs may be hidden at harder tiers.
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The model responds with the declared outputs.
Inputs the model receives, and the outputs it is scored on.
7 inputs
Included directly in every task prompt.
Vessel displacement
vessel_displacement_t
Vessel displacement mass
Approach velocity
approach_velocity_m_s
Vessel approach velocity normal to berth
Added mass coefficient
added_mass_coefficient
Added mass coefficient CM
Eccentricity coefficient
eccentricity_coefficient
Eccentricity coefficient CE
Berth configuration coefficient
berth_configuration_coefficient
Berth configuration coefficient CC
Softness coefficient
softness_coefficient
Berth and fender softness coefficient CS
Safety factor
safety_factor
Design safety factor applied to characteristic energy
4 outputs
kinetic_energy_knm
Unmodified vessel kinetic energy
Scores if within ±3% of the reference value.
characteristic_energy_knm
Characteristic berthing energy after coefficient product
Scores if within ±3% of the reference value.
design_energy_knm
Design berthing energy
Scores if within ±3% of the reference value.
coefficient_product
Product of berthing energy coefficients
Scores if within ±3% of the reference value.
Each template is sampled at three tiers. Harder tiers may hide inputs, forcing the model to infer them from the scenario description.
For this template, difficulty scales through parameter and scenario ranges rather than hidden information.
The exact instruction and parameter contract used to generate this task, pinned to the published library source.
/workspace
Teal lines show Jinja input conditions, not task visibility policy. A line renders only when that input or tool is visible.
1You are a senior structural engineer specializing in marine berthing structures.2 3## Problem4 5Calculate vessel berthing energy using the kinetic energy method and the supplied berthing coefficients.6 7## Given8 9| Parameter | Value | Unit |10|-----------|-------|------|11| Vessel displacement | {{ vessel_displacement_t }} | t |12| Approach velocity | {{ approach_velocity_m_s }} | m/s |13| Added mass coefficient CM | {{ added_mass_coefficient }} | - |14| Eccentricity coefficient CE | {{ eccentricity_coefficient }} | - |15| Berth configuration coefficient CC | {{ berth_configuration_coefficient }} | - |16| Softness coefficient CS | {{ softness_coefficient }} | - |17| Safety factor | {{ safety_factor }} | - |18 19{% if archetype_description is defined %}20### Berthing Context21 22{{ archetype_description }}23{% endif %}24 25{% if tool_available %}26## Available Tool27 28A berthing energy calculation tool is available at `/workspace/{{ meta.name }}_calc.py`. Run it with:29 30```bash31python3 /workspace/{{ meta.name }}_calc.py --help32```33 34You may use this tool to verify your calculations or compute values directly.35{% endif %}36 37## Required38 39Calculate the following:40 411. Unmodified vessel kinetic energy (kNm)422. Characteristic berthing energy (kNm)433. Design berthing energy (kNm)444. Product of berthing coefficients45 46## Constraints47 48- No internet access is available. Work from engineering knowledge and the provided tool.49- Convert vessel displacement from tonnes to kg by multiplying by 1000.50- Use kinetic energy = 0.5 x mass x velocity^2 / 1000 to obtain kNm.51- Use characteristic energy = kinetic energy x CM x CE x CC x CS.52- Use design energy = characteristic energy x safety factor.53 54## Output Format55 56Show your step-by-step working in Markdown. At the end of your solution, include a JSON block with your final answers in exactly this format:57 58```json59{60 "kinetic_energy_knm": <numeric_value>,61 "characteristic_energy_knm": <numeric_value>,62 "design_energy_knm": <numeric_value>,63 "coefficient_product": <numeric_value>64}65```66 67Write your complete solution to `/workspace/output.md`.68 Each generated task is drawn from one of these realistic scenario bands.
Site contexts ground each scenario in a real locale the model can use to infer hidden values.
small_service_vessel
Small service vessel berthing at a sheltered wharf
bulk_carrier_berth
Bulk carrier berthing at an open industrial wharf
bulk-export-berth-bulk-carrier-berth-preview — hard difficulty, all inputs given.
Bulk carrier berthing at an open industrial wharf. bulk-export-berth. Required outputs: kinetic_energy_knm, characteristic_energy_knm, design_energy_knm, coefficient_product
Scenario context and visible inputs.
Executable tool: berthing-energy-calc_calc.py
Inputs withheld at this difficulty.
Nothing. All inputs are supplied.
The scored JSON answer schema.
{
"kinetic_energy_knm": <number>,
"characteristic_energy_knm": <number>,
"design_energy_knm": <number>,
"coefficient_product": <number>
}