Question

The radius of Earth is 6370 km in the Earth reference frame. The cosmic ray is moving at 0.860 c0 relative to Earth. Part A In the reference frame of a cosmic ray how wide does Earth seem along the flight direction? Part B In the reference frame of a cosmic ray how wide does Earth seem perpendicular to the flight direction?

Answer #1

Problem 14.50 According to an observer at rest in the Earth
reference frame, ship A is moving toward ship B at speed 0.862
c0 while ship B is moving toward ship A at 0.697
c0 .Ship A sends out a shuttle module M that travels to
ship B at speed 0.575 c0 relative to A. Part
A When a pilot of the module sees 1.00 s pass on her
clock, how much time would she observe passing on a distant...

A cosmic-ray proton is moving at such a speed that it can travel
from the Moon to Earth in 1.5 s. (a) At what fraction of the speed
of light is the proton moving? b) What is its kinetic energy? c)
What value would be measured for its mass by an observer in Earth's
reference frame? (d) What percent error is made in the kinetic
energy by using the classical relation? (Earth-Moon distance is
3.8x10^5km. Ignore Earth's rotation.)

A muon is created 65 km above the surface of the earth. In the
earth's frame, the muon is traveling directly downward at
0.9999c.
Part A In the earth's frame of reference, how much time elapses
between the muon's creation and the time it reaches the
surface?
Part B
Use time dilation to determine, in the muon's frame, how much
time elapses between the muon's creation and the time it reaches
the surface.
Part C
In the muon's frame of...

16. A rod lies parallel to the x axis of reference frame S,
moving along this axis at a speed of 0.567c. Its rest length is
2.39 m. What will be its measured length in frame S?
17. In a high-energy collision between a cosmic-ray particle and
a particle near the top of Earth's atmosphere, 131 km above sea
level, a pion is created.The pion has a total energy E of 1.61 ×
105 MeV and is traveling vertically downward....

PLEASE SHOW ALL WORK!
A cosmic ray proton moving towards the Earth at 2.50 × 10^7
m/s experiences a
magnetic force of 1.65 × 10^-16 N.
a) What is the strength of the magnetic field that it passes
through if it moves perpendiuclar to the direction of the
field?
b) What is the strength of the field if the proton enters the
field at a 45.0◦ angle

In the earth's reference frame, a tree is at the origin and a
pole is at x=40km. Lightning strikes both the tree and the
pole at t=15μs. The lightning strikes are
observed by a rocket traveling in the x-direction at 0.7
c.
Part A: What are the spacetime coordinates x′tree,
x′pole for these two events in the rocket's reference
frame? (x'tree, x'pole) km
Part B: What are the spacetime coordinates t′tree,
t′pole for these two events in the rocket's reference...

In the Earth reference frame, a 150-kg probe travels at
0.860c0 while a 250-kg probe travels at 0.355c0
in the opposite direction.
a) What is the speed of the 150-kg probe in the zero-momentum
reference frame?
b) What is the speed of the 250-kg probe in the zero-momentum
reference frame?

Our usual frame of reference is the surface of the Earth, which
is actually a non-inertial reference frame since the Earth is
spinning! In other words we are constantly accelerating, since we
travel in a circle around Earth's rotation axis. For the questions
below assume the Earth is spherical with a radius of 3959 miles and
the latitude of Los Angeles is approximately 34°.
a) How much lighter will a scale read a 70 kg70 kg person's
weight standing at...

The earth is constantly bombarded by cosmic rays, which are
charged particles from outer space. Find the force on one such
cosmic ray—a proton that is instantaneously moving vertically
downward at v = 1.40×107 m/s at a point outside the atmosphere over
New York, where the magnetic ﬁeld dips 74.0° below the horizontal
and has a horizontal component of approximately 2.00×10−5 T.
Give the equation used for finding the magnitude of the magnetic
force on a particle in terms of...

Suppose that we are able to travel around the circumference of
the Earth with a speed of 0.9118c.
(a) How long (in seconds) would it take in the reference frame
of the Earth?
(b) How long (in seconds) would it take in our moving reference
frame? The radius of the Earth is 6.38 × 106 m.

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