CONSERVATION OF LINEAR MOMENTUM

Slides:

Advertisements

Similar presentations

Momentum and Impulse.

Advertisements

Conservation of Momentum The sum of the momentums of two bodies before they collide is equal to the sum of their momentums after they collide if there.

Honors Physics Impulse and Momentum. Impulse = Momentum Consider Newton’s 2 nd Law and the definition of acceleration Units of Impulse: Units of Momentum:

1. Momentum: By Momentum, we mean “Inertia in Motion” or more specifically, the mass of an object multiplied by its velocity. Momentum = mass × velocity.

Conservation of Momentum

Momentum and Energy in Collisions. A 2kg car moving at 10m/s strikes a 2kg car at rest. They stick together and move to the right at ___________m/s.

Aim: What is the law of conservation of momentum? Do Now: A 20 kg object traveling at 20 m/s stops in 6 s. What is the change in momentum? Δp = mΔv Δp.

Chapter 4 Impulse and Momentum.

Unit 7.2 Conservation of Momentum Teacher: Dr. Van Der Sluys.

© Houghton Mifflin Harcourt Publishing Company Section 1 Momentum and Impulse Chapter 6 Linear Momentum Momentum is defined as mass times velocity. Momentum.

Momentum Momentum is defined as “Inertia in Motion” p = mv.

Newton’s Third Law of Motion

Notes: Chapter 11.3 Newton’s Third Law of Motion and Momentum.

Momentum and Its Conservation

Momentum and Impulse. Answer Me!!! Forces cause objects to start moving. What keeps an object moving after the force is no longer applied?

We define the Momentum of an object as: Momentum = mass x velocity p = m v Momentum is measured in kg ms -1 Momentum is a vector quantity. (size and direction)

CONSERVATION OF MOMENTUM. When two particles collide they exert equal and opposite impulses on each other. It follows that for the two particles, the.

Energy Momentum, Collisions, Impulse. Momentum A measure of how hard it is to stop a moving object A measure of how hard it is to stop a moving object.

Would you rather be hit by a tennis ball or a bowling ball?

The product of mass and velocity of a body is called momentum. Force and Laws of Motion Momentum Mathematically, Momentum = mass × velocity P = mv It is.

Chapter 12: Forces and Motion

The Law of Conservation of Momentum

Concept Summary. Momentum  Momentum is what Newton called the “quantity of motion” of an object.

Momentum and Impulse. March 24, 2009 Momentum and Momentum Conservation  Momentum  Impulse  Conservation of Momentum  Collision in 1-D  Collision.

The force on an object may not be constant, but may vary over time. The force can be averaged over the time of application to find the impulse.

Example A 45-kg swimmer runs with a horizontal velocity of +5.1 m/s off of a boat dock into a stationary 12-kg rubber raft. Find the velocity that the.

1. What is the difference in elastic and inelastic collisions?

Notes: Chapter 11.3 Newton’s Third Law of Motion and Momentum.

Action and Reaction Newton’s 3 rd Law of Motion. Newton’s Third Law of Motion Newton’s third law of motion states that if one object exerts a force on.

NEWTON’S 3 RD LAW The Third Law of Motion. NEWTON’S 3 RD LAW  For every action there is an equal and opposite reaction!

Momentum A measure of how hard it is to stop a moving object. Related to both mass and velocity. Possessed by all moving objects.

1. What is the difference in elastic and inelastic collisions?

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.

Momentum & Impulse For clickers.

Key Areas covered Explosions and Newton’s third law.

Impulse and Momentum.

Momentum and Collisions

CHAPTER 3: FORCES 3.3 THE THIRD LAW OF MOTION.

Newton’s 3rd Law and Momentum

Linear Momentum Impulse & Collisions.

Newton's Third Law of Motion and Momentum

Newton’s Laws Of Motion

Newton’s Third Law Chapter 10 Section 4.

Conservation of Momentum and collisions

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

Section 2 Conservation of Momentum

Newton’s Laws of Motion

MOMENTUM (p) is defined as the product of the mass and velocity -is based on Newton’s 2nd Law F = m a F = m Δv t F t = m Δv IMPULSE MOMENTUM.

Impulse and Momentum Honors Physics.

Momentum and Impulse.

Key Areas covered Explosions and Newton’s third law.

Conservation of Momentum

Momentum Part 2 By: Heather Britton.

Chapter 7 Impulse and Momentum.

Momentum Mass X Velocity.

Newton’s Third Law of Motion states that for every ________________________ force, there is an equal and opposite ________________________ force. Forces.

Dynamics and Kinematics

Impulse and Momentum Honors Physics.

Chapter 2-4 Newton’s Third Law.

Linear Momentum and Collisions.

Conservation of Momentum

Newton’s Third Law When one object exerts a force on a 2nd object, the 2nd object exerts an equal and opposite force on the 1st object. For every action,

Momentum, Mass, and Velocity

the science of collision

Linear Momentum vector quantity that describes the tendency of an object to continue moving at constant velocity product of mass and velocity denoted by.

Newton’s Laws of Motion

Newton’s Third Law of Motion

Section 3 Newton’s Third Law p. 360

Presentation transcript:

CONSERVATION OF LINEAR MOMENTUM Newton’s Third Law states what: For every action there is an equal and opposite reaction. If two objects collide, what is true of the forces they exert on one another They are equal and opposite.

Consider two objects (1 and 2) that collide. Newton’s Third Law dictates F12 = F21 So . . . . . m 1 • v1 = m2 •  v2 t t Since the time of impact is the same : m 1 •v1 = m2 • v2

This leads us to the law of conservation of linear momentum m1v1 + m2v2 = m1V1 + m2V2 where : m1 and m2 are the masses of the two objects v1 and v2 are the initial velocities of the two objects V1 and V2 are the final velocities of the two objects

Example: A 40 kg object is moving to the right at 4 m/s and collides with a 10 kg object moving left at 1 m/s. After the collision, the 40 kg object continues moving right at 2.3 m/s. What is the velocity of the 10 kg object after the collision? Solution: First draw a set of two diagrams for before and after the collision

m1v1 + m2v2 = m1V1 +m2V2 BEFORE AFTER 40 kg 40 kg V1 = 2.3 m/s m1 = 40 kg m2 = 10 kg

Applying the law of conservation of linear momentum and substituting: m1v1 + m2v2 = m1V1 + m2V2 (40)(4) + (10)(-1) = (40)(2.3) + (10)V2 so. . . . . . V2 = 5.8 m/s

BEFORE AFTER so. . . . . . m1v1 + m2v2 = m1V1 + m2V2 V2 = -13 m/s A bullet of mass 65 grams is fired from a 4.0 kg gun. If the bullet leaves the gun at 800 m/s, what is the recoil velocity of the gun? ? m/s 800 m/s BEFORE AFTER V1 = 800 m/s V2 = ? m/s v1 = 0 m/s v2 = 0 m/s m1 = .065 kg m2 = 4 kg so. . . . . . V2 = -13 m/s m1v1 + m2v2 = m1V1 + m2V2 (.065)(0) + (4)(0) = (.065)(800) + (4)V2

MOMENTUM TRIX If the objects stick together upon colliding (perfectly inelastic collision) V1 = V2 • If both masses are the same, masses cancel