Question

An unstable high-energy particle is created in the laboratory, and it moves at a speed of...

An unstable high-energy particle is created in the laboratory, and it moves at a speed of 0.993c. Relative to a stationary reference frame fixed to the laboratory, the particle travels a distance of 1.64 × 10-3 m before disintegrating. What is (a) the proper distance and (b) the distance measured by a hypothetical person traveling with the particle? Determine the particle's (c) proper lifetime and (d) its dilated lifetime. Limit your answer to 3 significant digits.

Homework Answers

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
An unstable high-energy particle is created in the laboratory, and it moves at a speed of...
An unstable high-energy particle is created in the laboratory, and it moves at a speed of 0.989c. Relative to a stationary reference frame fixed to the laboratory, the particle travels a distance of 3.16 × 10-3 m before disintegrating. What is (a) the proper distance and (b) the distance measured by a hypothetical person traveling with the particle? Determine the particle's (c) proper lifetime and (d) its dilated lifetime.
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,...
A pion is an unstable particle which decays into a muon (which is also unstable and...
A pion is an unstable particle which decays into a muon (which is also unstable and further decays into an electron). The pion’s average lifetime when it is at rest is 26 ns. If the pion moves with a speed of 0.9819 c, what is (a) its average lifetime (ns) as measured by an observer on Earth and (b) the average distance (m) it travels before decaying as measured by an observer on Earth? (c) What average distance (m) would...
An unstable particle is produced in a laboratory. After its creation, it travels 1.00 m in...
An unstable particle is produced in a laboratory. After its creation, it travels 1.00 m in 4.0 ns, before decaying to other particles. (a) What is the lifetime of the particle in its rest frame? (b) If the particle is created in the lab’s rest frame from a total energy of 20 GeV, and all of the energy goes into the particle, what is its mass (in GeV/c2)? (c) According to the lab’s rest frame, what is the particle’s momentum...
After being created in a high-energy particle accelerator, a pi meson at rest has an average...
After being created in a high-energy particle accelerator, a pi meson at rest has an average lifetime of 2.60 10-8 s. Traveling at a speed very close to the speed of light, a pi meson travels a distance of 148 m before decaying. How fast is it moving? (Enter your answer to four significant figures.)
A ?+ is a subatomic particle called a Pion that is positively charged. It has a...
A ?+ is a subatomic particle called a Pion that is positively charged. It has a mean lifetime of about 26 ns (26x10-9 s) as measured in the pion's frame of reference. Suppose a pion is created in the atmosphere and is moving at 0.856c relative to a stationary observer on Earth. How far in meters does the pion travel during its lifetime according to the Earth-bound observer? Assume 3 significant figures. The formula d=speed x time DOES NOT WORK...
Muons are unstable subatomic particles that decay with a mean lifetime of 2.197us (producing electrons and...
Muons are unstable subatomic particles that decay with a mean lifetime of 2.197us (producing electrons and neutrinos) as measured in the inertial frame of the muons. Many are produced in the upper atmosphere about 10 km above the surface of the Earth, and some of them travel very near the speed of light on their way to the surface. A) Calculate the largest distance any particle can travel in 2.197us, with both the time and the distance measured by observers...
Subatomic particles called pions are created when protons, accelerated to speeds near the speed of light...
Subatomic particles called pions are created when protons, accelerated to speeds near the speed of light in a particle accelerator, smash into the nucleus of the target atom. Charged pions are unstable particles that decay into muons with a half-life of 1.8 x 10-8 s. Pions have been investigated for use in cancer treatment because they pass through tissue with minimal damage until they decay. As they decay the release significant energy. The speed of the pions can be adjusted...
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...
PHW 21 due at Class 24 A particle accelerator is a device designed to create high-energy...
PHW 21 due at Class 24 A particle accelerator is a device designed to create high-energy particles for collision experiments. In one such accelerator, protons that are initially at rest are accelerated through a net electrical potential ? to a total relativistic energy ? = 6.5 GeV. The accelerator itself is a large circular ring with a radius ? = 1.1 km. For these protons, calculate the following: (a) The net accelerating potential, ?. (b) Their momentum, in MeV/c. (c)...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT