chapter9_1

# chapter9_1 - Chapter 9 Relativity Basic Problems Newtonian...

This preview shows pages 1–12. Sign up to view the full content.

Chapter 9 Relativity

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Basic Problems ± Newtonian mechanics fails to describe properly the motion of objects whose speeds approach that of light ± Newtonian mechanics is a limited theory ± It places no upper limit on speed ± It is contrary to modern experimental results ± Newtonian mechanics becomes a specialized case of Einstein’s special theory of relativity ± When speeds are much less than the speed of light
Newtonian Relativity ± Inertial frames of reference ± Objects subjected to no forces will experience no acceleration ± Any system moving at constant velocity with respect to an inertial frame must also be in an inertial frame ± According to the principle of Newtonian relativity , the laws of mechanics are the same in all inertial frames of reference

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Newtonian Relativity – Example ± The observer in the truck throws a ball straight up ± It appears to move in a vertical path ± The law of gravity and equations of motion under uniform acceleration are obeyed
Newtonian Relativity – Example, cont. ± There is a stationary observer on the ground ± Views the path of the ball thrown to be a parabola ± The ball has a velocity to the right equal to the velocity of the truck

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Newtonian Relativity – Example, conclusion ± The two observers disagree on the shape of the ball’s path ± Both agree that the motion obeys the law of gravity and Newton’s laws of motion ± Both agree on how long the ball was in the air ± All differences between the two views stem from the relative motion of one frame with respect to the other
Views of an Event ± An event is some physical phenomenon ± Assume the event occurs and is observed by an observer at rest in an inertial reference frame ± The event’s location and time can be specified by the coordinates ( x , y , z , t )

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Views of an Event, cont. ± Consider two inertial frames, S and S’ ± S’ moves with constant velocity, , along the common x and x ’axes ± The velocity is measured relative to S ± Assume the origins of S and S’ coincide at t = 0
Galilean Transformation of Coordinates ± An observer in S describes the event with space-time coordinates ( x , y , z , t ) ± An observer in S’ describes the same event with space-time coordinates ( x ’, y ’, z ’, t ’) ± The relationship among the coordinates are ± x ’= x vt ± y ’= y ± z ’= z ± t ’= t

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Notes About Galilean Transformation Equations ± The time is the same in both inertial frames ± Within the framework of classical mechanics, all clocks run at the same rate ± The time at which an event occurs for an observer in S is the same as the time for the same event in S’ ± This turns out to be incorrect when v is comparable to the speed of light
Galilean Transformation of Velocity ± Suppose that a particle moves through a displacement dx along the x axis in a time dt ± The corresponding displacement dx ’is ± u is used for the particle velocity and v is used for the relative velocity between the two frames

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 06/08/2009 for the course PHYS 2c taught by Professor All during the Spring '08 term at UC Riverside.

### Page1 / 70

chapter9_1 - Chapter 9 Relativity Basic Problems Newtonian...

This preview shows document pages 1 - 12. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online