Question

A muon is created 65 km above the surface of the earth. In the earth's frame,...

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 reference, length contraction reduces the distance between the point at which it is created and the surface of the earth. What is this distance?

Homework Answers

Answer #1

if you have any doubt related to the answer please let me know in comments. Give a thumbs up if you like the answer.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Muons are elementary particles with a small mass. They are often created in the atmosphere by...
Muons are elementary particles with a small mass. They are often created in the atmosphere by cosmic ray collisions. Once the muon is created, its lifetime is only 2 microseconds (2×10−6 seconds). A typical velocity is 0.9999 c, just 0.1 % below the speed of light. Without relativity, the muons would only travel 600 meters before decaying, yet we see muons created 10 km in the air reach our instruments on the ground. a) Consider a muon created 10km above...
A muon formed high in Earth's atmosphere travels towards Earth at a speed v = 0.970c...
A muon formed high in Earth's atmosphere travels towards Earth at a speed v = 0.970c for a distance of 4.30 km as measured by an observer at rest with respect to Earth. It then decays into an electron, a neutrino, and an antineutrino. (a) How long does the muon survive according to an observer at rest on Earth? (b) Compute the gamma factor associated with the muon. (c) How much time passes according to an observer traveling with the...
22 The short lifetime of muons created in the upper atmosphere of the earth would not...
22 The short lifetime of muons created in the upper atmosphere of the earth would not allow them to reach the surface of the earth unless their lifetime increased by time dilation. From the reference system of the muons, the muons can reach the surface of the earth because A time dilation increases their velocity. B time dilation increases their energy C length contraction decreases the distance to the earth. D the relativistic speed of the earth toward them is...
A muon is a type of unstable subatomic particle. When high-speed particles from outer space (sometimes...
A muon is a type of unstable subatomic particle. When high-speed particles from outer space (sometimes called "cosmic rays") collide with atoms in the upper atmosphere, they can create muons which travel toward the Earth. Suppose a muon created in the atmosphere travels at a speed of 0.941c toward the Earth's surface for a distance of 3.48 km, as measured by a stationary observer on Earth, before decaying into other particles. (a) As measured by the stationary observer on Earth,...
16. A rod lies parallel to the x axis of reference frame S, moving along this...
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....
One of the many fundamental particles in nature is the muon mu. This particle acts very...
One of the many fundamental particles in nature is the muon mu. This particle acts very much like a "heavy electron." It has a mass of 106 MeV/c^2, compared to the electron's mass of just 0.511 MeV/c^2. (We are using E = mc^2 to obtain the mass in units of energy and the speed of light c). Unlike the electron, though, the muon has a finite lifetime, after which it decays into an electron and two very light particles called...
Our usual frame of reference is the surface of the Earth, which is actually a non-inertial...
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...
In order to cross the galaxy quickly, a spaceship leaves Earth traveling at 0.9999995c. After 15...
In order to cross the galaxy quickly, a spaceship leaves Earth traveling at 0.9999995c. After 15 minutes a radio message is sent from Earth to the spacecraft. (a) In the Earth-galaxy frame of reference, how far from Earth is the spaceship when the message is sent? (b) How much time elapses on spaceship clocks between when the ship leaves Earth and when the message is sent? (c) How much time elapses on Earth clocks between when the message is sent...
An astronaut is traveling from the Earth to the planet Neptune. At a speed of 0.73...
An astronaut is traveling from the Earth to the planet Neptune. At a speed of 0.73 c, the trip takes 2.75 hours in the astronaut’s frame of reference. How much time does it take in the Earth’s frame of reference? What is the distance from the Earth to Neptune in the Earth’s frame of reference? While traveling in the rocket the astronaut measures the length of the ship to be 826 m and the radius to be 85.0 m. What...
5. An astronaut is traveling from the Earth to the planet Neptune. At a speed of...
5. An astronaut is traveling from the Earth to the planet Neptune. At a speed of 0.73 c, the trip takes 2.75 hours in the astronaut’s frame of reference. a) How much time does it take in the Earth’s frame of reference? b) What is the distance from the Earth to Neptune in the Earth’s frame of reference? c) While traveling in the rocket the astronaut measures the length of the ship to be 826 m and the radius to...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT