Relativistic Mass and Momentum

Slides:



Advertisements
Similar presentations
Einsteins Special Theory of Relativity. Relative Motion ALL motion is relative Speeds are only measured in relation to other objects No way to determine.
Advertisements

H6: Relativistic momentum and energy
Relativistic mechanics
Lecture 20 Relativistic Effects Chapter Outline Relativity of Time Time Dilation Length Contraction Relativistic Momentum and Addition of Velocities.
The Theory of Special Relativity. Learning Objectives  Relativistic momentum: Why p ≠ mv as in Newtonian physics. Instead,  Energy of an object: Total.
Phy107 Fall 2006 From last time… Einstein’s Relativity ◦ All laws of physics identical in inertial ref. frames ◦ Speed of light=c in all inertial ref.
Relativistic Momentum Classical physics: Definition of momentum: p = mv Conservation of momentum:p 1 + p 2 = p 3 + p 4 Coordinate transformation (Galilei;
An unstable particle at rest breaks into two fragments of unequal mass
1 Special Relativity (Ch 37) Modern physics special relativity quantum mechanics Both were developed to explain the “few remaining puzzles” of classical.
The work-energy theorem revisited The work needed to accelerate a particle is just the change in kinetic energy:
Review of Einstein’s Special Theory of Relativity by Rick Dower QuarkNet Workshop August 2002 References A. Einstein, et al., The Principle of Relativity,
1 Recap: Relativistic definition of linear momentum and moving mass We have studied two concepts in earlier lecture: mass and momentum in SR Consider.
Homework due Monday. Use Compton scattering formula for Ch5 Q8 An electron volt (eV) is a unit of energy = work done moving an electron down one volt =
Problem-solving skills In most problems, you are given information about two points in space-time, and you are asked to find information about the space.
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Chapter 26: Relativity.
PHY 1371Dr. Jie Zou1 Chapter 39 Relativity (Cont.)
Physics 6C Special Relativity Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB.
Special Relativity & General Relativity
Relativistic Mechanics Relativistic Mass and Momentum.
Relativistic Kinetic Energy
Mass and Energy.
The Theory of Special Relativity. Learning Objectives  Relativistic momentum: Why p ≠ mv as in Newtonian physics. Instead,  Energy of an object: Total.
Relativistic Mass and Energy
The Special Theory of Relativity. Galilean-Newtonian Relativity Definition of an inertial reference frame: One in which Newton’s first law is valid Earth.
1 Relativity H4: Some consequences of special relativity.
Special Relativity Contents: The End of Physics Michelson Morley Postulates of Special Relativity Time Dilation.
Little drops of water, little grains of sand, make the mighty ocean and the pleasant land. Little minutes, small though they may be, make the mighty ages.
 Problem : Imagine that somewhere in deep space a rock with mass 12kg is moving in the +x direction with v = 4/5 in some inertial frame. This rock then.
The Theory of Special Relativity Ch 26. Two Theories of Relativity Special Relativity (1905) –Inertial Reference frames only –Time dilation –Length Contraction.
Special Relativity…continued, Diffraction Grating Equation and Photo-electric effect Relativistic Doppler Shift Relativistic Momentum and Energy Diffraction.
Chapter 28: Special Relativity
Lecture_06: Outline Special Theory of Relativity  Principles of relativity: length contraction, Lorentz transformations, relativistic velocity  Relativistic.
1 Relativity (Option A) A.4 Relativistic momentum and energy.
Of the four fundamental forces choose the weakest one? a)Strong force b)Gravitational force c)Electromagnetic force d)Weak force.
The Theory of Special Relativity
1 Relativity H6: Relativistic momentum and energy.
Mass and Energy E=mc 2 and all that. MASS and REST MASS In 1905 Einstein showed that the mass of a moving object, as measured by a stationary observer,
Special Relativity Lecture 25 F2013 Lorentz transformations 1.
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.
Physics 141Mechanics Lecture 10 Force and PotentialYongli Gao A conservative force can be obtained from the derivative of its potential. From the definition.
Momentum and Mass Is Mass a Relative Quantity??? By Connie Wong.
Special Relativity Length, Momentum, and Energy. Length Contraction.
Momentum and Energy in Special Relativity
Time Dilation, Summary The time interval Δt between two events measured by an observer moving with respect to a clock is longer than the time interval.
Relativity of Mass According to Newtonian mechanics the mass of a body is unaffected with change in velocity. But space and time change…….. Therefore “mass”
Physics: Principles with Applications, 6th edition
Special Theory of Relativity
Special Theory of Relativity
Physics 6C Special Relativity Prepared by Vince Zaccone
Review of Einstein’s Special Theory of Relativity by Rick Dower QuarkNet Workshop August 2002 References A. Einstein, et al., The Principle of Relativity,
Relativistic Momentum
Newton’s 2nd Law for Rotation
Special Relativity: Time Dilation and Length Contraction
Photon-Matter Interactions
Hydrogen relativistic effects II
RELATIVISTIC EFFECTS.
Information Next lecture on Wednesday, 9/11/2013, will
Chapter 28: Special Relativity
Relativistic Momentum
Collisions.
Energy and momentum units in particle physics
The Galilean Transformations
The Galilean Transformations
Physics I Class 06 Impulse and Momentum.
Mass and Energy E=mc2 and all that.
Chapter 37 Special Relativity
Chapter 28 Relativity.
Special Relativity Chapter 1-Class6.
Information Next lecture on Wednesday, 9/11/2013, will
2.11: Relativistic Momentum Because physicists believe that the conservation of momentum is fundamental, we begin by considering collisions where.
Presentation transcript:

Relativistic Mass and Momentum SPH4U

Rest Mass The rest mass of an object is its inertial mass:

Relativistic Mass However, the mass of an object as defined by: will be larger if the object is moving with respect to a given frame of reference since the object will also have kinetic energy.

Relativistic Energy Einstein suggested that the relativistic energy of an object may be given by:

Relativistic Mass The relativistic mass is therefore:

Kinetic Energy And the kinetic energy of the object is:

Example An electron moves at 0.860c in a laboratory. Calculate the electron’s (a) rest energy, (b) total energy, and (c) kinetic energy in electron volts.

Example An electron moves at 0.860c in a laboratory. Calculate the electron’s (a) rest energy, (b) total energy, and (c) kinetic energy in electron volts. (a)

Example An electron moves at 0.860c in a laboratory. Calculate the electron’s (a) rest energy, (b) total energy, and (c) kinetic energy in electron volts. (a)

Example An electron moves at 0.860c in a laboratory. Calculate the electron’s (a) rest energy, (b) total energy, and (c) kinetic energy in electron volts. (a)

Example An electron moves at 0.860c in a laboratory. Calculate the electron’s (a) rest energy, (b) total energy, and (c) kinetic energy in electron volts. (b)

Example An electron moves at 0.860c in a laboratory. Calculate the electron’s (a) rest energy, (b) total energy, and (c) kinetic energy in electron volts. (b)

Example An electron moves at 0.860c in a laboratory. Calculate the electron’s (a) rest energy, (b) total energy, and (c) kinetic energy in electron volts. (c)

Relativistic Momentum The momentum of an object is also relativistic:

Minutephysics Another way of looking at relativistic energy and momentum: http://www.youtube.com/watch?v=NnMIhxWRGNw

More Practice Textbook questions p. 583 #1, 3, 4 p. 578 #10, 11 “Paradoxes in Special Relativity Assignment”