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CHAPTER XI
CHAPTER XI

Special Theory of Relativity
Special Theory of Relativity

∆x = vt And the area under the graph is the displacement
∆x = vt And the area under the graph is the displacement

Q- A skydiver of mass 80.0 kg jumps from a slow
Q- A skydiver of mass 80.0 kg jumps from a slow

... speed of 50.0 m/s. If the air drag is proportional to the square of velocity of the bodya) What is the acceleration of the skydiver when her speed is 30.0 m/s 2? b) What is the drag force on the skydiver when her speed is 50.0 m/s c) What is the drag force on the skydiver when her speed is 30.0 m/s? ...
Motion in a Line
Motion in a Line

Vocabulary 7.1 Force and Motion
Vocabulary 7.1 Force and Motion

Physics
Physics

1 - FreeScienceStuff.com
1 - FreeScienceStuff.com

midterm_solution-1
midterm_solution-1

Lecture Notes: Chapter 2 Motion
Lecture Notes: Chapter 2 Motion

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P. LeClair - MINT Center
P. LeClair - MINT Center

Newton`s Laws First Law --an object at rest tends to stay at rest AND
Newton`s Laws First Law --an object at rest tends to stay at rest AND

Student Number - Department of Mechanical Engineering
Student Number - Department of Mechanical Engineering

08
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Music and harmonics - BYU Physics and Astronomy
Music and harmonics - BYU Physics and Astronomy

Sol.
Sol.

Relativity6
Relativity6

Document
Document

... For the main part, that means turning vectors in 4_vectors. Which means at least to find the “time component” of the 4-vector. Starting, as usual, from the simplest case. And the simplest is: the “position vector” (x,y,z). In this case, the answer is obvious, since this is where it all started: The ...
rotational dynamics
rotational dynamics

Frame of Reference
Frame of Reference

... A
non‐iner.al
frame
of
reference
is
one
that
is
accelera%ng
and
Newton’s
laws
of
mo%on
appear
invalid
unless
fic%%ous
forces
are
 used
to
describe
the
mo%on
of
objects
observed
in
the
non‐iner%al
reference
frame.
 Example:
 If
you
are
in
an
automobile
when
the
brakes
are
abruptly
applied,
then
you
wi ...
Infinitesimal strain
Infinitesimal strain

... In the Earth the only significant body force is gravity: fi = (0, 0, g) and in practice we neglect it ( assumed negligible) for body waves (although it is important for surface waves). Now we have the equations in terms of stress; we’d like to get them entirely in terms of displacement. Recall: ...
Complex Numbers Worksheet
Complex Numbers Worksheet

Areal Velocity and Orbital Period
Areal Velocity and Orbital Period

CH 1 Math Notes
CH 1 Math Notes

< 1 ... 78 79 80 81 82 83 84 85 86 ... 90 >

Derivations of the Lorentz transformations

There are many ways to derive the Lorentz transformations utilizing a variety of mathematical tools, spanning from elementary algebra and hyperbolic functions, to linear algebra and group theory.This article provides a few of the easier ones to follow in the context of special relativity, for the simplest case of a Lorentz boost in standard configuration, i.e. two inertial frames moving relative to each other at constant (uniform) relative velocity less than the speed of light, and using Cartesian coordinates so that the x and x′ axes are collinear.
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