Note: This Chapter is Not a Part of the AS Course
Previous Section: Collisions in One Dimension
Next Section: Further Mechanics 1 General Support
Contents
- Whole Topic Notes
- 5A Oblique (Angled) Impact with a Plane
- 5B Successive Oblique Impacts
- 5C Oblique Impacts with Two Smooth Spheres
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Further Mechanics 1 Elastic Collisions in Two Dimensions Section
- Dr Frost Further Mechanics 1 Elastic Collisions in Two Dimensions Slides
- Blank Notes to Follow Slides PDF (Courtesy of Bicen Maths)
Acute Learning Whole Chapter Problem Pairs
Notes
- Physics & Maths Tutor
- FM1 Ch.5 Elastic Collisions in 2D: Cheat sheet
5A Oblique (Angled) Impact with a Plane
Textbook resources
No Haberdashers’ Adams Maths Dept. Video Yet
Dr Frost resources
Note on above video: there are other ways of dealing with angled walls. I (unlike Mr Bicen) like to use unit vectors to rewrite vectors as parallel and perpendicular to a wall, both approaches are perfectly valid.
You can determine the magnitude of a vector in a given direction by applying the scalar product with the unit vector in the required direction.
A key point in both cases is that the impulse always acts perpendicularly to a wall (and you can therefore use I=m(v-u) in vector form to work this out first. Finding the direction of the impulse is often a key first step.
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of Bicen Maths)
Download Slides
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 889a: Determine the angle of deflection of a particle striking a wall.
- 889b: Use the velocity of a particle striking a wall at an angle to find the coefficient of restitution or angle of deflection.
- 889c: Calculate the speed of a particle striking a wall at an angle.
- 889: Exam Practice: Elastic collisions in 2D (oblique collisions)
Other resources
3Blue1Brown Linear transformations and matrices | Chapter 3, Essence of linear algebra
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
Worksheets
- MadAsMaths (T. Madas)
- Oblique Collisions (M3/M4) Q4, 5, 10–12, 14, 25, 29, 33, 34, 39, 44 (difficulty 2–4 of 5)
5B Successive Oblique Impacts
Textbook resources
No Haberdashers’ Adams Maths Dept. Video Yet
Dr Frost resources
Download Blank Notes
(Courtesy of Bicen Maths)
Download Slides
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
Worksheets
- MadAsMaths (T. Madas)
- Oblique Collisions (M3/M4) Q26, 27, 45, 46 (difficulty 3–5 of 5)
5C Oblique Impacts with Two Smooth Spheres
Textbook resources
No Haberdashers’ Adams Maths Dept. Video Yet
Dr Frost resources
Download Blank Notes
(Courtesy of Bicen Maths)
Download Slides
Extra Questions
- Dr Frost Questions (very short)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 889e: Determine the velocity of a particle after striking another particle, where the initial motion of each particle is expressed using vectors.
- 889f: Determine the speed of a particle striking another particle, where the initial motion of each particle is expressed using vectors. (not yet active)
- 889g: Determine the speed and direction of two spheres before or after impact where one of the spheres collides at an angle relative to the line of centres. (not yet active)
- 889h: Determine the speed and direction of two spheres before or after impact where both spheres collide at an angle relative to the line of centres. (not yet active)
- 889i: Calculate the loss of kinetic energy in an oblique impact. (not yet active)
- 889j: Determine the impulse received by a particle in an oblique impact. (not yet active)
- 889: Exam Practice: Elastic collisions in 2D (oblique collisions)
Other resources
Other Videos & Multimedia
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 3×3 transformations and questions
Worksheets
- MadAsMaths (T. Madas)
- Oblique Collisions (M3/M4) Q1, 3, 6–9, 13, 15–24, 28, 30–32, 35–38, 40–43 (difficulty 2–4 of 5)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for Collisions: 1 Sphere Oblique Impact
Download PPQs as WW Powerpoint for Collisions: 2 Spheres Oblique Impact
External whole topic past paper style questions
- WW Dr Frost Style QQQs (Version 1) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- WW Dr Frost Style QQQs (Version 2) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- Advanced Highers Matrices Exam Questions & Answers
Worksheets
- MathedUp
- Jethwa Maths
- 10 Minute Starters: Elastic Collisions in 2 Dimensions
- Physics & Maths Tutor
- FM1 Ch.5 Elastic Collisions in 2D: Questions by topic