Nano PHYSICS . MECHANICS . MOMENTUM AND COLLISIONS . TWO-DIMENSIONAL COLLISION PROBLEM SOLVING

Vector Momentum Conservation

Momentum is a vector, so conserve it in each perpendicular direction. Learn to write momentum vectors before and after, split them into components, and count equations, unknowns, and constraints.

Physics · Mechanics · Momentum and Collisions · Two-Dimensional Collision Problem Solving · Vector Momentum Conservation
Access for this nano-lesson
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: vector momentum conservation
Free
Establish two-dimensional collision solving as vector momentum bookkeeping in perpendicular directions.
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Goal: define vector momentum conservation in two-dimensional collision setups.
STEP 2
Conceptual grounding: build the 2D collision model
Free
Build a workflow for axes, vectors, components, conservation equations, extra constraints, and unknown counting.
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Goal: convert diagrams and angles into x- and y-momentum equations.
STEP 3
Real-world connection: interpret components and scattering geometry
Free
Apply 2D collision reasoning to pucks, balls, oblique impacts, scattering, and fragment motion.
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Goal: explain oblique collisions, scattering geometry, conservation-law choice, and unknown counting in physical contexts.
STEP 4
Check your understanding: diagnostic mini-quiz
Paid
Attempt each question before revealing the component-based collision reasoning.
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Goal: identify and correct axis, component, sign, angle, energy-use, and unknown-counting errors before they become calculation errors.
STEP 5
Practice: solve increasingly rich 2D collision situations
Paid
Apply the model to situations that grow in complexity.
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Goal: write concise, physically justified two-dimensional collision setups and solutions.
STEP 6
Summary & reflection + explorations
Paid
Consolidate the model and explore changing axes, angles, masses, scattering geometry, and constraints.
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🔒 ▶ Explore interactive simulation
Goal: carry the model forward into scattering, elastic 2D collisions, center-of-mass frames, and collision classification.