Question

1. The origins of two inertial frames coincide at t = 0. The K’ frame moves relative to the K frame at a velocity of 0.92c in the +y direction. A proton is at rest in the K frame. What is the momentum 4-vector of the proton, (E/c, px, py, pz) in the K’ frame (in units of MeV/c)?

Answer #1

Frames k and k' are inertial frames. Frame k' is moving at a
velocity of magnitude v relatively to frame k in the direction of
the x-axis. There are rigid rods in each frame oriented along the
direction of the relative velocity. Someone in frame k measures the
rod that is stationary in k as having a length L1 and the rod
stationary in frame k' as having a length L'2. What are the lengths
of the rods measured by...

1. In one inertial reference frame, an electron is observed
traveling with a velocity of magnitude v in the positive
x-direction, where v is 0.6c. What are the momentum and total
energy of the electron in that inertial reference frame in terms of
v and the rest mass of the electron? What are the speed, momentum
and energy of that electron as measured in a reference frame that
is traveling at a velocity of magnitude v/2 in the positive
x-direction?...

1) Consider two inertial reference frames, S and S’ where S’ is
moving to the right with a constant velocity of 0.895 c as measured
by an observer in S. A stick of proper length 0.878 m moves to the
left toward the origins of both S and S’, and the length of the
stick is 31.1 cm as measured by an observer in S’. Determine the
velocity of the stick as measured by an observer in S’. Answer in...

An electron has a kinetic energy K of 1 MeV and is incident on a
proton at rest in the laboratory. Calculate the speed of the CMS
frame (The centre of mass, or centre of momentum, (CMS) frame is
that in which the sum of the momenta (i.e., the total momentum) of
all particles is zero) moving relative to the laboratory.
(a) Express the initial energies Ee, Ep and initial momenta pe,
pp of the electron and proton respectively (with...

Inertial reference frame A and inertial reference frame B have
x-axes that point in the same direction, and reference frame A
moves relative to reference frame B at a constant velocity of 0.680
c in the +x-direction. These reference frames record the times and
positions of the following two events.
A space transmitter is destroyed in a sudden explosion.
The on-board computer on a space satellite suddenly shuts
down.
According to reference frame B, the computer shutdown occurred 7.51
x...

Which of the following inertial reference frames
are proper frames for the two events listed? Choose all that
apply.
RED FRAME: Event A happened at a
different place than event B.
ORANGE FRAME: Event C happened at (9 m,
7 m, -6 m) and event D happened at (-9 m, 0.7 m, -6
m).
YELLOW FRAME: The distance between
where event E occurred and where event F occurred was 4
m.
GREEN FRAME: A rocket was traveling at
a constant...

ane sets up two mirrors in her reference frame where mirror A is
located on the x-axis 100 m from the origin and mirror B is located
on the y-axis 100 m from the origin. She then causes a light
source, which is located at the origin and emits light uniformly in
all directions, to flash once at t=0.
(a) As measured in Jane's inertial frame, what is the time at
which the light flash reaches mirror A?
(b) As...

Suppose that, at t=6.00×10−4 s, the space coordinates of a
particle are x=255 m, y=35.0 m, and z=35.0 m according to
coordinate system S. If reference frame S′ moves at speed 1.41×105
m/s in the +x-direction relative to frame S, compute the
corresponding coordinate values as measured in frame.S′. The
reference frames start together, with their origins coincident at
t=0.
x' = ??? m
y' = ??? m
z' = ??? m

The position ? of a particle moving in space from (t=0 to 3.00
s) is given by ? = (6.00?^2− 2.00t^3 )i+ (3.00? − ?^2 )j+ (7.00?)?
in meters and t in seconds. Calculate (for t = 1.57 s): a. The
magnitude and direction of the velocity (relative to +x). b. The
magnitude and direction of the acceleration (relative to +y). c.
The angle between the velocity and the acceleration vector. d. The
average velocity from (t=0 to 3.00 s)....

A beam of protons (proton mass is 1.67 x 10 - 27 kg) moves at 3
x 10 5 m/s through a uniform magnetic field with magnitude 2 T.
The magnetic field has exactly equal components along the positive
y and negative x axes and no component along the z axis. The
velocity of each proton lies in the xz- plane at an angle of 30
0 to the z- axis.
(a) Write the magnetic field B and the velocity...

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