Two-Dimensional Collisions

Slides:

Advertisements

Similar presentations

CHAPTER 8 Momentum & Impulse.  Momentum is a product of mass and velocity  Momentum is a vector (magnitude and direction)  p = m v  Measured in kg.

Advertisements

Aim: How can we apply conservation of momentum to collisions? Aim: How can we apply conservation of momentum to collisions? Identify conservation laws.

Physics 11 Mr. Jean November 28 th, The plan: Video clip of the day 2d Momentum Momentum practice questions Physics Video.

Momentum – Conservation Laws

Conservation of Momentum

Momentum Impulse, Linear Momentum, Collisions Linear Momentum Product of mass and linear velocity Symbol is p; units are kgm/s p = mv Vector whose direction.

Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lectures 27, 28.

Law of Conservation of Momentum. If the resultant external force on a system is zero, then the vector sum of the momentums of the objects will remain.

Momentum and Impulse.

1.4 MOMENTUM IN TWO DIMENSIONS. Momentum momentum of an object to be the product of mass (m) and velocity (v). Momentum is a vector quantity with SI Units.

Principles of Physics. - property of an object related to its mass and velocity. - “mass in motion” or “inertia in motion” p = momentum (vector) p = mvm.

Conservation of Momentum. Conserved Total momentum of a system before and after an interaction remains constant Momentum before = Momentum After Two balls.

AMY SHANTA BABOOLAL PHYSICS PROJECT: MECHANICS. ARISTOTLE’S ARGUMENTS One of his well known arguments is: to understand change, a distinction must be.

Ch. 8 Momentum and its conservation

Unit 1 – Momentum and Impulse

M OMENTUM IN 2 D IMENSIONS. 4.1 N EWTON ' S SECOND LAW AND MOMENTUM Newton's second law states that the acceleration produced by a force on an object.

Momentum and Its Conservation

Linear Momentum. 5-1 Linear Momentum Linear Momentum, p – defined as mass x velocity The unit is kg·m/s A quantity used in collisions So a small object.

Chapter 6 Momentum and Impulse. Momentum The product of an object’s mass and velocity: p = mv Momentum, p, and velocity, v, are vector quantities, meaning.

Momentum A measure of how difficult it is to change an object’s motion (to make it stop or swerve). On what does this difficulty depend? –More mass; more.

Reading Quiz - Momentum

Chapter 5: Momentum Momentum: a measure of motion

Newton’s Laws of Motion

Linear Momentum. 5-1 Linear Momentum Linear Momentum, p – defined as mass x velocity The unit is kgm/s A quantity used in collisions So a small object.

Momentum A measure of how difficult it is to change an object’s motion (to make it stop or swerve). On what does this difficulty depend? –More mass; more.

Lecture 14: Collisions & Momentum. Questions of Yesterday A 50-kg object is traveling with a speed of 100 m/s and a 100-kg object is traveling at a speed.

Momentum Review A Review. A Tale of Momentum and Inertia.

Collisions and Explosions Momentum and Energy. Let’s think about collisions:  How can 2 objects collide, and what can happen when they do?  Head-on,

Objectives  Know the meaning of linear momentum.  Use Newton’s Second Law of Motion to derive the equation for linear momentum.  Understand the relationship.

Types of Collisions Elastic Two objects collide and bounce off each other Inelastic Two objects collide and stick together Explosion One object separates.

1 Do Now: What makes the shuttle go UP? Objectives: Utilize IMPULSE to calculate: Force – time – change in velocity Home work: Page 233: #’s 1 – 5 all.

2D Collisions Physics 12. Clip of the day: Minutephysics: What is fire? gE

Impulse & Momentum Physics 11. Momentum  The product of a particle’s mass and velocity is called the momentum of the particle:  Momentum is a vector,

Momentum and Its Conservation Chapter 9. Properties of a System Up until now, we have looked at the forces, motion and properties of single isolated objects.

1 SACE Stage 2 Physics Momentum in 2-Dimensions. 2 Vector Form of Newton’s Second Law of Motion Consider a particle reflecting off a surface without a.

Conservation of Momentum Conservation of momentum: Split into components: If the collision is elastic, we can also use conservation of energy.

IB Physics 11 Mr. Jean December 9 th, The plan: Video clip of the day 2D collisions.

Conservation of Momentum in One –Dimension (along a line)

Formula Momentum (p) = Mass x velocity Unit is kgm/s.

Momentum, Impulses, and Collisions. A. Background Information 1.Momentum of an object is anything that has inertia and is moving a. It is based on an.

Momentum The property of moving object has that makes it difficult to stop. (technically, product of mass and velocity) Formula: p = mv.

Test – What to study The test will cover things we have done in class up to Lecture 9 Momentum will NOT be on the test Please look over old test (available.

Vectors & Two-Dimensional Motion

Collisions in 2D.

A –Level Physics: Further Mechanics- Inelastic and Elastic Collisions

Chapter 7 Impulse and Momentum.

12.1 Momentum Momentum is a property of moving matter.

Physics Section 6.2 Calculate the momentum of collisions

Collisions in 2D.

Lesson link A balloon is filled up with hydrogen gas and then is released before being tied, explain why the balloon accelerates using Newton’s laws of.

Law of Conservation of Momentum

THIS IS JEOPARDY.

Momentum Conservation of Momentum

Aim: How do we solve collisions in two dimensions?

PHYSICS 103: Lecture 13 Review of HW Momentum Agenda for Today:

Momentum and Impulse.

Conservation of Momentum

Homework: WS: momentum & impulse

Conservation Laws Conservation of Momentum II

Defining an explosion In an explosion, an internal impulse acts in order to propel the parts of a system (often a single object) into a variety of directions.

Two Dimensional Collisions

Two Dimensional Collisions

Lesson 10: Conservation of Momentum

Conservation Laws Conservation of Momentum II

Section 3 Newton’s Third Law p. 360

1D Collisions Unit A Momentum.

You should be able to solve 1D and 2D Momentum problems.

Momentum and Its Conservation

Presentation transcript:

Two-Dimensional Collisions

Outcomes You will explain, quantitatively, that momentum is conserved in one- and two- dimensional interactions in an isolated system

Law of Conservation of Momentum Momentum is ALWAYS conserved during collisions In 2-dimensional collisions we must consider momentum in each plane Meaning: where no external net force acts on the system, the momentum of the system in both the ‘x’ & ‘y’ directions remains constant The vector sum of the momenta is constant So, 𝑝 𝐵𝑦 = 𝑝 𝐴𝑦 & 𝑝 𝐵𝑥 = 𝑝 𝐴𝑥

Explosions When an explosion occurs, the vector sum of the momenta is zero, since prior to the explosion the sum of the momenta is zero. When solving 2D problems…. USE TRIGONOMETRY & DRAW A DIAGRAM!!!

Sample Problem: A 4.0 kg object is traveling south at a velocity of 2.8 m/s when it collides with a 6.0 kg object traveling east at a velocity of 3.0 m/s. If these two objects stick together upon collision, at what velocity do the combined masses move? (2.1 m/s at 58.1º E of S)

Homework p. 11 #1-3

(Day#2)Sample Problem: A curling rock, with a mass of 10.0 kg, moves to the right at 2.50 m/s towards a stationary rock with a mass of 12.5 kg. After the collision, the 12.5 kg rock moves off at an angle of 60.0 from the original motion of the 10.0 kg rock at a speed of 1.00 m/s. Calculate the velocity of the first rock after the collision. (2.2 m/s at 30º)

Sample Problem: A 4.0 kg object is moving east at an unknown velocity when it collides with a 6.1 kg stationary object. After the collision, the 4.0 kg object is traveling at a velocity of 2.8 m/s 32º N of E and the 6.1 kg object is traveling at a velocity of 1.5 m/s 41º S of E. What was the velocity of the 4.0 kg object before collision? (4.1 m/s East)

(Day)Sample Problem: A stationary 4.0 kg object burst into 3 fragments. The 1.5 kg piece flies off to the west at 1.8 x 102 m/s while the 2.1 kg piece flies off north at 2.1 x 102 m/s. What is the velocity of the third piece? (1.3x103 m/s at 31º E of S)

Homework p. 11 #4-6 p. 499 #1-4 (read p. 498) - Extra

Homework p. 14 & 15 Diploma Q’s 2D collision WS 2D Quiz Tomorrow!