1a) Show that time dilation is a consequence of the
Lorentz transformations
b) Use the Lorentz transformations to find the relationship
between the speed u of a moving object measured by one observer and
the speed U measured by a second observer moving at a constant
speed v relative to the first. Assume that the observers and the
object move in the same straight line.
c) Show that the measured speed of an object can never exceed a
maximum value, whatever...
Special relativity: describe the principle of relativity
and Lorentz transformations, and derive the effects of time
dilation and length contraction. Also explain the meaning of the
equation E = m c2
Basic understandings of each part of the question please. I am
trying to figureout the concept of my curriculum.
Learning Goal: To practice Problem Solving Strategy 37.3 Lorentz
Transformations. An enemy spaceship is moving toward your
starfighter with a speed of 0.400 c , as measured in your reference
frame. The enemy ship fires a missile toward you at a speed of
0.700 c relative to the enemy ship. If you measure the enemy ship
to be 1.00×107 km away from you when the missile is fired, how much
time t, measured in your frame, will it take for...
For the following find: (Show detailed working)
1) general solution of the associated homogns DE
2) form of the particular solution associated with
the undetermined coefficients method. Do not evaluate
coefficients
a) (d2 y / dx2) - dy/dx = x - 3
b) (d2 y / dx2) + 2 dy/dx + y =
(1+x)e-x + x2
c) (d2 y / dx2) + y =
sin(2x)