Conservation of Momentum

📋 Aligned Florida NGSSS Standards (Non-Trigonometric 1D Physics):

SC.912.P.12.5: Apply the law of conservation of linear momentum to 1D horizontal collisions.
SC.912.P.12.3: Interpret and apply Newton's Three Laws of Motion to physical systems.
Problem Solving: Apply the 5-step GUESS process (Given, Unknown, Equation, Substitute, Solve).

Course Progress 0% Complete

Level 1: GUESS & Impulse

Level 2: Inelastic Collisions

Level 3: Elastic & Newton 3

Level 4: Recoil & Master Test

📖 Level 1: Momentum, Impulse, and the GUESS Method

Welcome to the Everglades Physics Canal! Before solving calculations, remember the GUESS Method steps:

G Given: Extract numerical values and units from the problem.

U Unknown: Identify the target variable.

E Equation: Select the matching physics formula.

S Substitute: Plug your given numbers into the formula.

S Solve: Calculate the final answer with correct units.

Momentum Formula: p = m × v (kg·m/s)
Impulse Formula: Impulse = Δp = F × Δt (N·s)

🌊 Simulation 1: Single Object Momentum & Impulse Drive

Float Mass (m): 5 kg Initial Velocity (v): 4 m/s

Push Force (F): 10 N (Rightward)

Current Velocity: 4 m/s | Current Momentum (p): 20 kg·m/s

🤔 Level 1 Comprehension Check

Question: A flamingo float travels down a canal at 4 m/s. If the flamingo doubles its velocity to 8 m/s while keeping its mass the same, what happens to its momentum?

🧮 Level 1 GUESS Calculation Challenge

Loading problem...

G (Given): Enter given values from problem statement above:

U (Unknown): Select target variable:

E (Equation): Select equation to use:

S (Substitute): Select correct numerical substitution:

S (Solve): Calculate and enter final momentum (kg·m/s):

📖 Level 2: Completely Inelastic Collisions (Sticking Together)

In a Completely Inelastic Collision, two colliding objects stick together after impact and move with a shared final velocity.

Standard Physics Conservation Equation:
m₁v₁ + m₂v₂ = (m₁ + m₂)v_final

🌊 Simulation 2: Inelastic Crash & Stick Test

🦩 Flamingo 1 (Pink)

Mass (m₁): 4 kg Velocity (v₁): 6 m/s

🦩 Flamingo 2 (Teal)

Mass (m₂): 4 kg Velocity (v₂): 0 m/s (Stationary)

Observed Combined Final Velocity: -- m/s

🤔 Level 2 Comprehension Check

Question: When two objects collide inelastically and stick together, how is the total mass after collision represented in the standard conservation equation?

🧮 Level 2 GUESS Calculation Challenge

Loading problem...

G (Given): Fill in problem values:

U (Unknown): Select target variable:

E (Equation): Select standard physics conservation equation:

S (Substitute): Select correct numerical substitution into standard equation:

S (Solve): Calculate final combined velocity v_final (m/s):

📖 Level 3: Elastic Collisions & Newton's 3rd Law

In an Elastic Collision, objects bounce off each other without sticking. During contact, Newton's 3rd Law applies directly.

Newton's 3rd Law Force Pair: F₂₁ = - F₁₂
Equal Magnitude, Opposite 1D Direction (-)

🌊 Simulation 3: Elastic Bounce & Newton's 3rd Law Force Pair

🦩 Flamingo 1 (Pink)

Mass (m₁): 6 kg Initial Speed (v₁): 5 m/s

🦩 Flamingo 2 (Teal)

Mass (m₂): 2 kg Initial Speed (v₂): 0 m/s

Impact Status: Ready

🤔 Level 3 Comprehension Check

Question: A heavy 10 kg flamingo float collides elastically with a light 2 kg baby float. According to Newton's 3rd Law, which float experiences a greater force magnitude during impact?

🧮 Level 3 GUESS Calculation Challenge

Loading problem...

G (Given): Action force exerted by Flamingo 1 on Flamingo 2 (F₁₂):

U (Unknown): Select target variable:

E (Equation): Select Newton's 3rd Law equation:

S (Substitute): Select correct numerical substitution:

S (Solve): Select calculated reaction force (F₂₁):

📖 Level 4: Recoil, Explosions & Master Everglades Rescue

In a Recoil or Explosion scenario, two objects start at rest together ($p_{\text{initial}} = 0$) and push away from each other in opposite directions.

Initial Momentum = 0
0 = (m₁ × v₁) + (m₂ × v₂) ⇒ m₁v₁ = - m₂v₂

🌊 Simulation 4: Everglades Recoil Push-Off

🦩 Flamingo 1 (Pink - Recoils Left)

Mass (m₁): 6 kg

🦩 Flamingo 2 (Teal - Pushes Right)

Mass (m₂): 3 kg Push Speed (v₂): +4 m/s

Calculated Recoil Velocity (v₁): -- m/s

🤔 Level 4 Synthesis Comprehension Check

Question: Flamingo A (5 kg) moves RIGHT at +4 m/s and Flamingo B (5 kg) moves LEFT at -4 m/s. If they stick together, what is their combined velocity?

🏆 Level 4 Master GUESS Calculation Challenge

Loading problem...

G (Given): Enter given problem values:

U (Unknown): Target variable is Combined Final Velocity (v_final)

E (Equation): Select full 1D inelastic conservation equation:

S (Substitute): Select correct substitution with signed 1D velocities:

S (Solve): Calculate final velocity (include negative sign if moving left):

🎉 100% Mastery Achieved!

You have mastered 1D Momentum, Newton's 3rd Law, and the interactive GUESS Problem-Solving Method!

Enter Student Name for Certificate:

🦩 Florida Connections Academy

📖 Level 1: Momentum, Impulse, and the GUESS Method

🌊 Simulation 1: Single Object Momentum & Impulse Drive

🤔 Level 1 Comprehension Check

🧮 Level 1 GUESS Calculation Challenge

📖 Level 2: Completely Inelastic Collisions (Sticking Together)

🌊 Simulation 2: Inelastic Crash & Stick Test

🦩 Flamingo 1 (Pink)

🦩 Flamingo 2 (Teal)

🤔 Level 2 Comprehension Check

🧮 Level 2 GUESS Calculation Challenge

📖 Level 3: Elastic Collisions & Newton's 3rd Law

🌊 Simulation 3: Elastic Bounce & Newton's 3rd Law Force Pair

🦩 Flamingo 1 (Pink)

🦩 Flamingo 2 (Teal)

🤔 Level 3 Comprehension Check

🧮 Level 3 GUESS Calculation Challenge

📖 Level 4: Recoil, Explosions & Master Everglades Rescue

🌊 Simulation 4: Everglades Recoil Push-Off

🦩 Flamingo 1 (Pink - Recoils Left)

🦩 Flamingo 2 (Teal - Pushes Right)

🤔 Level 4 Synthesis Comprehension Check

🏆 Level 4 Master GUESS Calculation Challenge

🎉 100% Mastery Achieved!

Certificate of Academic Achievement

1D Conservation of Linear Momentum & The GUESS Problem-Solving Method