Advanced Higher Physics Unit 1 Kinematics relationships and relativistic motion.

Slides:

Advertisements

Similar presentations

Motion and Force A. Motion 1. Motion is a change in position

Advertisements

Derivative as a Rate of Change Chapter 3 Section 4.

PH1 Kinematics UVAXT Equations. Vectors & Scalars Vectors e.g. displacement, velocity have a direction, and a magnitude, are a straight line. e.g. 3ms.

Scalar quantities have magnitude only. Vector quantities have magnitude and direction. Examples are: Scalar quantities: time, mass, energy, distance, speed.

Physics 2011 Chapter 2: Straight Line Motion. Motion: Displacement along a coordinate axis (movement from point A to B) Displacement occurs during some.

Measuring Motion Chapter 1 Section 1.

Motion with Constant Acceleration

Acceleration. Changing Motion Objects with changing velocities cover different distances in equal time intervals.

Acceleration Section 5.3 Physics.

Chapter 2 Motion Along a Straight Line. Linear motion In this chapter we will consider moving objects: Along a straight line With every portion of an.

What is the rate change in position called?

Motion in 1 Dimension. v  In the study of kinematics, we consider a moving object as a particle. A particle is a point-like mass having infinitesimal.

The four kinematic equations which describe an object's motion are:

Chapter 2 Motion in One Dimension Key Objectives  Define Motion in One Dimension  Differentiate Distance v Displacement  Compare Velocity v Speed.

Coach Kelsoe Physics Pages 48–59

Motion in One Dimension Average Versus Instantaneous.

Acceleration Chapter 2 Section 2.

You need: Binder For Notes.  Describe motion in terms of frame of reference, displacement, time interval and velocity.  Calculate displacement, average.

Kinetic Energy A moving object has energy because of its motion. This energy is called kinetic energy.

IB Physics 11 Mr. Jean September 12, The plan: Video clip of the day Finish Motion labs Continue working on kinematics & mechanics topics.

MOTION MOTION © John Parkinson.

Vocab Concepts AP Problems Problems II Problems Graphical Analysis

Acceleration Physics 1 Dimensional Motion Chapter 2 Section 2 – pages

Section 2 Acceleration.  Students will learned about  Describing acceleration  Apply kinematic equations to calculate distance, time, or velocity under.

Velocity - time graph 1. The velocity – time graph shows the motion of a particle for one minute. Calculate each of the following. (a) The acceleration.

Motion in One Dimension

Chapter 2 Motion in One Dimension Key Objectives Define Motion in One Dimension Differentiate Distance v Displacement Compare Velocity v Speed Calculate.

Motion in One Direction Chapter 2 Goals: motion, displacement, velocity, acceleration, freefall, acceleration due to gravity and equations to solve for.

Mechanics Topic 2.1 Kinematics. Kinematic Concepts: Displacement Is a measured distance in a given direction It is a vector quantity It tells us not only.

Mechanics Topic 2.1 Kinematics. Kinematic Concepts Displacement Is a measured distance in a given direction It tells us not only the distance of the object.

2.1 Position, Velocity, and Speed 2.1 Displacement  x  x f - x i 2.2 Average velocity 2.3 Average speed  

Kinematics. Kinematics is the study of motion. Distance normally refers to the total distance an object moves during a particular journey. Displacement.

Chapter 21 Kinematics 21.1 Displacement, Velocity and Acceleration.

Kinematics: Linear Motion in One Dimension Class 1.

Section 2.5 Motion with Constant Acceleration © 2015 Pearson Education, Inc.

Instantaneous Velocity The velocity at an instant of time. For a curved graph, use very small intervals of time.

Rotational Motion – Part I AP Physics C. The radian  There are 2 types of pure unmixed motion:  Translational - linear motion  Rotational - motion.

1.1Motion and Motion Graphs. Kinematics Terminology Scalar vs. Vector Scalar: quantities that have only a size, but no direction – ie: distance, speed.

PHSX 114, Wednesday August 27 Reading for this lecture: Chapter 2 (2-5 thru 2-7)Reading for this lecture: Chapter 2 (2-5 thru 2-7) Reading for the next.

So what about mass? 1. What happens to time from the frame of reference of a stationary observer on Earth as objects approach c? 2. What notation is given.

Mechanics Topic 2.1 Kinematics. Kinematics Concepts Displacement is a vector quantity Is a measured distance in a given direction It tells us not only.

Equations involving Constant Acceleration & Working with Kinematics Graphs Physics 11.

Kinematics PH1.2.

Chapter 2 Motion in One Dimension. Dynamics Dynamics: branch of physics describing the motion of an object and the relationship between that motion and.

DAY 1 Motion A Puzzler – You ride your bike from Ossining to NYC, 30 miles away at 15 mph. How fast must you return to Ossining to average 30 mph?

Graphs of Motion Physics Notes. Introduction to Graphs  Graphs are mathematical pictures.  They are the best way to convey a description of real world.

LINEAR MOTION Advanced Higher Physics. Calculus Methods.

S3 Physics - Forces

Mechanics 1 : Kinematics

Kinematics Motion Graphs.

PE Definition Stored Energy Energy due to position.

AP Physics Section 2-7 Falling Objects.

What is Motion?.

Chapter 2 Objectives Describe motion in terms of changing velocity.

Graphing Motion Walk Around

RELATIVISTIC EFFECTS.

MOTION IN A STRAIGHT LINE GRAPHICALLY

Contents: 2-1E, 2-5E, 2-9P, 2-13P, 2-33P, 2-36P*

MOTION IN A STRAIGHT LINE GRAPHICALLY

Newton’s laws of motion:

Kinematics-Part II Kinematics-Part I Velocity: Position: Acceleration:

Cornell Notes What Is Acceleration?

MOTION IN A STRAIGHT LINE GRAPHICALLY

In the study of kinematics, we consider a moving object as a particle.

Kinematics: Displacement and Velocity

Motion in One Dimension

Presentation transcript:

Advanced Higher Physics Unit 1 Kinematics relationships and relativistic motion

Kinematic relationships Kinematics is the study of motion without reference to cause. From Higher Physics, we know: We now need to prove this equations using calculus.

Velocity Average Velocity is defined as the change in displacement (Δs) over time (Δt). Instantaneous velocity is defined as the speed at any particular time during a journey. This velocity can be found by measuring the average velocity over a very short time interval. (as Δt →0)

Acceleration Acceleration is defined as the change in velocity (Δv) over time (Δt). Instantaneous acceleration is defined as the acceleration at any particular time during a journey. This acceleration can be found by measuring the acceleration over a very short time interval. (as Δt →0)

If then (This formula can be found in the data booklet)

v = u + at at t=0, v = u, c=u integrate

s = ut +½at² at t=0, s=0, c=0 integrate

v²=u²+2as taking a common factor of 2a gives and since s = ut + ½at 2

A very useful extra equation is Displacement-time and velocity-time graphs can be used to derive information.

Example Q1a) (a)A particle has displacement s = 0 at time t = 0 and moves with a constant acceleration a. The velocity of the object is given by the equation v = u + at, where the symbols have their usual meanings. Using calculus, derive an equation for the displacement s of the object as a function of time t.

Answers at t=0, s=0, c=0 integrate

Relativity The greatest possible speed is the speed of light in a vacuum: At very high velocities an object appears to have gained mass to the viewpoint of a stationary observer. The mass gain can be calculated using: Available on DATA SHEET Rest mass (kg) speed of object (ms ˉ ¹) speed of light in a vacuum (ms ˉ ¹) Available in DATA BOOKLET Object mass (kg) The rest mass of an object is its mass when it is stationary.

Relativistic energy The total energy of an object is: speed of light (3x10 8 ms -1 ) relativistic mass (kg) relativistic energy (J) This energy is made of two parts: Kinetic energy of motion rest mass energy relativistic energy Relativistic effects are only taken into account when v>10%c. in DATA BOOKLET Not in DATA BOOKLET

Example Q1. (b) 2007 A proton is accelerated to a high speed so that its mass is 2.8 times its rest mass. 1.Calculate the speed of the proton. 2.Calculate the relativistic energy of a proton at this velocity.

Answers 1.Find the speed using:Rearrange

The relativistic energy is given by: