Nano PHYSICS . MECHANICS . WORK AND ENERGY . CONSERVATIVE AND NON-CONSERVATIVE FORCES

Toward Conservation of Mechanical Energy

If only conservative forces do work, mechanical energy stays constant. Otherwise include non-conservative work in the energy accounting.

Physics · Mechanics · Work and Energy · Conservative and Non-Conservative Forces · Toward Conservation of Mechanical Energy
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Unsigned visitors can show & copy prompts for Steps 1-3. Signed-in free accounts can also Run with AI for Steps 1-2. Paid accounts unlock everything (Steps 1-6 + Help prompts + AI).
Steps 1-3 Free Steps 4-6 Paid
STEP 1
Orient: toward conservation of mechanical energy
Free
Establish conservative and non-conservative forces using work, path, and energy storage.
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Goal: define conservative and non-conservative forces using path dependence, work, and energy.
STEP 2
Conceptual grounding: build the force-classification model
Free
Build a workflow for force classification, path dependence, closed loops, and dissipation.
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Goal: classify forces and decide whether potential energy or dissipation language is appropriate.
STEP 3
Real-world connection: interpret paths, loops, and dissipation
Free
Apply the model to gravity, friction, drag, deformation, springs, and mechanical-energy conservation.
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Goal: explain gravity, friction, energy loss, and mechanical-energy conservation in physical contexts.
STEP 4
Check your understanding: diagnostic mini-quiz
Paid
Attempt each question before revealing the conservative-force reasoning.
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Goal: identify and correct path, loop, friction, and conservation errors before they become calculation errors.
STEP 5
Practice: solve increasingly rich energy-accounting situations
Paid
Apply the model to situations that grow in complexity.
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Goal: write concise, physically justified conservative/non-conservative force explanations and solutions.