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PHYS101: Introduction to Mechanics
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Two-Dimensional Momentum
Course Introduction
Course Syllabus
Course Map
Unit 1: Introduction to Physics
Unit 1 Learning Outcomes
Final Exam
1.1: Scientific Theory, Law, and Models
An Introduction to Physics
1.2: Physical Quantities and Units
Physical Quantities and Units
1.3: Converting S.I. and Customary U.S. Units
Unit Conversion and Dimensional Analysis
Metric Units, Converting Units, Significant Figures
1.4: Uncertainty, Accuracy, Precision, and Significant Figures
Accuracy, Precision, and Significant Figures
1.5: Scientific Notation
Review of Scientific Notation
Applying Scientific Notation
Converting Scientific Notation to Standard Notation
Unit 2: Kinematics in a Straight Line
Unit 2 Learning Outcomes
2.1: Vectors, Scalars, and Coordinate Systems
Vectors, Scalars, and Coordinate Systems
2.2: Instantaneous and Average Values for Physical Quantities
Time, Velocity, and Speed
2.3: Distance and Displacement
Displacement
Distance and Displacement as Scalar Vectors
Displacement vs. Distance
Displacement Time Graphs
Vectors and Scalars
2.4: Speed and Velocity
Time, Velocity, and Speed
More on Speed and Velocity
Speed and Velocity vs. Distance and Displacement
2.5: Motion with Constant Acceleration
Acceleration
More on Acceleration
Motion Equations for Constant Acceleration in One Dimension
Average Acceleration
Acceleration Equations
2.6: Falling Objects
Falling Objects
Vertical Motion in Free Fall
Zero Gravity Demonstration
2.7: Calculating the Kinematic Quantities of Objects in Constant Acceleration
Kinematic Equations for Objects in Free Fall
Constant Acceleration Equations
More on Free Fall
Problem-Solving Basics for One-Dimensional Kinematics
Kinematic Equations in Constant Acceleration
Displacement with Constant Acceleration
2.8: Graphical Analysis
Graphical Analysis of One-Dimensional Motion
Interpreting Velocity Graphs
Unit 3: Kinematics in Two Dimensions
Unit 3 Learning Outcomes
3.1: Introduction to Kinematics in Two Dimensions using Vectors
Kinematics in Two Dimensions
Unit Vectors and Engineering Notation
3.2: Adding and Subtracting Vectors
Vector Addition and Subtraction
Vector Addition Using the Graphical Method
3.3. Adding Vectors Analytically: Determining the Components, Magnitude, and Direction of a Vector
Analytical Methods for Vector Addition and Subtraction
More on Vector Addition
Vector Components on a Grid
Projectiles at an Angle
Visualizing Vectors in Two Dimensions
Unit Vector Notation
3.4: Projectile Motion and Trajectory
Projectile Motion
More on Projectile Motion
Another Way to Determine Time In Air
Horizontally-Launched Projectiles
Launching and Landing at Different Elevations
Total Displacement for a Projectile
Total Final Velocity for a Projectile
Projectiles on an Incline
Unit 4: Dynamics
Unit 4 Learning Outcomes
4.1: Newton's First Law of Motion
Newton's First Law of Motion and Inertia
Force and Newton's Laws
The Historical Context
More on Newton's First Law of Motion
4.2: Newton's Second Law of Motion
Newton's Second Law of Motion
Using Newton's Second Law
F=ma
Examples of Newton's Second Law
More on Newton's Second Law
4.3: Free-Body Diagrams
The Concept of Force
4.4: Newton's Third Law of Motion
Symmetry in Forces
Newton's Third Law and F=ma
More on Newton's Third Law
Examples of Newton's Third Law
4.5: Solving Problems Using Newton's Second Law: Weight
Problem-Solving Strategies
Further Applications of Newton's Laws of Motion
Identifying and Labeling Types of Forces
Mass and Weight
Characteristics of Forces
Gravity and Weight
Resultant Forces
4.6: Newton's Law of Gravity
Newton's Universal Law of Gravitation
Introduction to Gravity
Introduction to Newton's Law of Gravitation
Gravity for Astronauts in Orbit
Would a Brick or Feather Fall Faster?
4.7: Solving Problems Using Newton's Second Law: Normal Force
Normal Force
Identifying and Labeling Types of Forces
More on Normal Force
Normal Force and Contact Force
Normal Force in an Elevator
Multiple Forces Alongside Normal Force
Ice Accelerating Down An Incline
4.8: Solving Problems Using Newton's Second Law: Tension
Tension
Identifying and Labeling Types of Forces
Tension Forces
4.9: Solving Problems Using Newton's Second Law: Friction
Identifying and Labeling Types of Forces
Friction
Kinetic and Static Friction Forces
Friction and Force from Springs
Comparing Static and Kinetic Friction
Examples of Static and Kinetic Friction
Unit 5: Rotational Kinematics
Unit 5 Learning Outcomes
5.1: Centripetal Force
Centripetal Acceleration
Circular Motion and Centripetal Acceleration
Centripetal Force
Tennis Ball on a String
More on Centripetal Force
Visualizing Centripetal Acceleration
More on Centripetal Force And Acceleration
Example: Loop de Loop
5.2: Centripetal Force and the Universal Law of Gravitation
Satellites and Kepler's Laws
Kepler's Three Laws of Planetary Motion
5.3: Angular Position, Velocity, and Acceleration
Rotation Angle and Angular Velocity
Angular Acceleration
5.4: Kinematics of Rotational Motion
Kinematics of Rotational Motion
Unit 6: Rotational Statics and Dynamics
Unit 6 Learning Outcomes
6.1: Conditions for Equilibrium
The First Condition for Equilibrium
Static Equilibrium, Torque, and Stability
6.2: Torque
Rotational Inertia
Rotational Kinematics and Dynamics
The Second Condition for Equilibrium
Moment of Inertia
The Race Between a Ring and a Disc
6.3: Applications of Statics
Torques on a Seesaw
Applications of Statics
Unit 7: Work and Energy
Unit 7 Learning Outcomes
7.1: Calculating Work and Force
Introduction to Work
Work Example Problems
7.2: Work, Potential Energy, and Linear Kinetic Energy
Kinetic Energy and the Work-Energy Theorem
Work, Kinetic Energy, and Potential Energy
More on the Work-Energy Theorem
More on Work and Energy
Work as the Transfer of Energy
Example of Work and Energy
7.3: Conservative Forces and Potential Energy
Non-Conservative Forces
Conservative Forces and Potential Energy
Conservative Forces
More on Non-Conservative Forces
7.4: Conservation of Energy
Conservation of Energy
The Equation for Conservation of Mechanical Energy
More on Conservation of Energy
The Equation for Non-Conservative Work
Thermal Energy from Friction
7.5: Rotational Kinetic Energy
Rotational Kinetic Energy
Deriving Rotational Kinetic Energy
More on Rotational Kinetic Energy
7.6: Power
Power
More on Power
Work, Energy, and Power in Humans
Unit 8: Momentum and Collisions
Unit 8 Learning Outcomes
8.1: Linear Momentum
Linear Momentum and Force
Momentum, Impulse, and the Conservation of mV
More on Momentum
8.2: Momentum and Newton's Second Law
Momentum and Newton's Second Law
Impulse
More on Impulse
Example of Impulse and Momentum in Dodgeball
Force vs. Time Graphs
8.3: Elastic, Inelastic, and Totally Inelastic Collisions
Elastic Collisions in One Dimension
Conserving Momentum in Elastic Collisions
What are Inelastic and Elastic Collisions?
Inelastic Collisions in One Dimension
Conserving Momentum in Inelastic Collisions in Two Dimensions
Elastic and Inelastic Collisions
Perfectly Inelastic Collisions
Elastic and Inelastic Collisions in One Dimension
8.4: Solving Problems Involving Conservation of Linear Momentum in Collisions
Elastic Collisions in One Dimension
Calculating Velocity
Linear Momentum and the Conservation of Momentum
Example: Bouncing Fruit Colliding
Example: An Ice Skater Throws a Ball
Two-Dimensional Momentum
8.5: Conservation of Angular Momentum
Angular Momentum and Its Conservation – IP
Controlling Angular Velocity on a Rotating Stool
Conserving Angular Momentum
Study Guide
PHYS101 Study Guide
Course Feedback Survey
Course Feedback Survey
Next
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PHYS101: Introduction to Mechanics
Unit 8: Momentum and Collisions
8.4: Solving Problems Involving Conservation of Linear Momentum in Collisions
Two-Dimensional Momentum
Two-Dimensional Momentum
Completion requirements
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These videos expand on the conservation of momentum law for two-dimensional collision problems. Note that the conservation of momentum simply needs to be applied twice: once for each of the two dimensions of motion between objects.
Video 1: 2-dimensional momentum problem
Video 2: 2-dimensional momentum problem (part 2)
Source: Khan Academy,
watch
watch
,
watch
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License
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Back to '8.4: Solving Problems Involving Conservation of Linear Momentum in Collisions'
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Course Syllabus
Course Map
Unit 1 Learning Outcomes
Final Exam
An Introduction to Physics
Physical Quantities and Units
Unit Conversion and Dimensional Analysis
Metric Units, Converting Units, Significant Figures
Accuracy, Precision, and Significant Figures
Review of Scientific Notation
Applying Scientific Notation
Converting Scientific Notation to Standard Notation
Unit 2 Learning Outcomes
Vectors, Scalars, and Coordinate Systems
Time, Velocity, and Speed
Displacement
Distance and Displacement as Scalar Vectors
Displacement vs. Distance
Displacement Time Graphs
Vectors and Scalars
Time, Velocity, and Speed
More on Speed and Velocity
Speed and Velocity vs. Distance and Displacement
Acceleration
More on Acceleration
Motion Equations for Constant Acceleration in One Dimension
Average Acceleration
Acceleration Equations
Falling Objects
Vertical Motion in Free Fall
Zero Gravity Demonstration
Kinematic Equations for Objects in Free Fall
Constant Acceleration Equations
More on Free Fall
Problem-Solving Basics for One-Dimensional Kinematics
Kinematic Equations in Constant Acceleration
Displacement with Constant Acceleration
Graphical Analysis of One-Dimensional Motion
Interpreting Velocity Graphs
Unit 3 Learning Outcomes
Kinematics in Two Dimensions
Unit Vectors and Engineering Notation
Vector Addition and Subtraction
Vector Addition Using the Graphical Method
Analytical Methods for Vector Addition and Subtraction
More on Vector Addition
Vector Components on a Grid
Projectiles at an Angle
Visualizing Vectors in Two Dimensions
Unit Vector Notation
Projectile Motion
More on Projectile Motion
Another Way to Determine Time In Air
Horizontally-Launched Projectiles
Launching and Landing at Different Elevations
Total Displacement for a Projectile
Total Final Velocity for a Projectile
Projectiles on an Incline
Unit 4 Learning Outcomes
Newton's First Law of Motion and Inertia
Force and Newton's Laws
The Historical Context
More on Newton's First Law of Motion
Newton's Second Law of Motion
Using Newton's Second Law
F=ma
Examples of Newton's Second Law
More on Newton's Second Law
The Concept of Force
Symmetry in Forces
Newton's Third Law and F=ma
More on Newton's Third Law
Examples of Newton's Third Law
Problem-Solving Strategies
Further Applications of Newton's Laws of Motion
Identifying and Labeling Types of Forces
Mass and Weight
Characteristics of Forces
Gravity and Weight
Resultant Forces
Newton's Universal Law of Gravitation
Introduction to Gravity
Introduction to Newton's Law of Gravitation
Gravity for Astronauts in Orbit
Would a Brick or Feather Fall Faster?
Normal Force
Identifying and Labeling Types of Forces
More on Normal Force
Normal Force and Contact Force
Normal Force in an Elevator
Multiple Forces Alongside Normal Force
Ice Accelerating Down An Incline
Tension
Identifying and Labeling Types of Forces
Tension Forces
Identifying and Labeling Types of Forces
Friction
Kinetic and Static Friction Forces
Friction and Force from Springs
Comparing Static and Kinetic Friction
Examples of Static and Kinetic Friction
Unit 5 Learning Outcomes
Centripetal Acceleration
Circular Motion and Centripetal Acceleration
Centripetal Force
Tennis Ball on a String
More on Centripetal Force
Visualizing Centripetal Acceleration
More on Centripetal Force And Acceleration
Example: Loop de Loop
Satellites and Kepler's Laws
Kepler's Three Laws of Planetary Motion
Rotation Angle and Angular Velocity
Angular Acceleration
Kinematics of Rotational Motion
Unit 6 Learning Outcomes
The First Condition for Equilibrium
Static Equilibrium, Torque, and Stability
Rotational Inertia
Rotational Kinematics and Dynamics
The Second Condition for Equilibrium
Moment of Inertia
The Race Between a Ring and a Disc
Torques on a Seesaw
Applications of Statics
Unit 7 Learning Outcomes
Introduction to Work
Work Example Problems
Kinetic Energy and the Work-Energy Theorem
Work, Kinetic Energy, and Potential Energy
More on the Work-Energy Theorem
More on Work and Energy
Work as the Transfer of Energy
Example of Work and Energy
Non-Conservative Forces
Conservative Forces and Potential Energy
Conservative Forces
More on Non-Conservative Forces
Conservation of Energy
The Equation for Conservation of Mechanical Energy
More on Conservation of Energy
The Equation for Non-Conservative Work
Thermal Energy from Friction
Rotational Kinetic Energy
Deriving Rotational Kinetic Energy
More on Rotational Kinetic Energy
Power
More on Power
Work, Energy, and Power in Humans
Unit 8 Learning Outcomes
Linear Momentum and Force
Momentum, Impulse, and the Conservation of mV
More on Momentum
Momentum and Newton's Second Law
Impulse
More on Impulse
Example of Impulse and Momentum in Dodgeball
Force vs. Time Graphs
Elastic Collisions in One Dimension
Conserving Momentum in Elastic Collisions
What are Inelastic and Elastic Collisions?
Inelastic Collisions in One Dimension
Conserving Momentum in Inelastic Collisions in Two Dimensions
Elastic and Inelastic Collisions
Perfectly Inelastic Collisions
Elastic and Inelastic Collisions in One Dimension
Elastic Collisions in One Dimension
Calculating Velocity
Linear Momentum and the Conservation of Momentum
Example: Bouncing Fruit Colliding
Example: An Ice Skater Throws a Ball
Angular Momentum and Its Conservation – IP
Controlling Angular Velocity on a Rotating Stool
Conserving Angular Momentum
PHYS101 Study Guide
Course Feedback Survey
Next Section
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.