(17%) Problem 6: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.94c. The muon then travels at constant speed and lives 1.525 µs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.) Randomized Variables v = 0.94 c t = 1.525 µs Part (a) How many kilometers does the muon travel according to an Earth-bound observer? Lo =||
Q: Suppose a particle called a kaon is created by cosmic radiation (high-energy protons of unknown ori…
A: Givenv=0.989c∆to=1.238×10-8 s
Q: An alien leader is watching Earth sitcoms transmitted to a distant planet. The season finale of the…
A: Speed of radio wave = 186,000 miles per second Distance between earth and planet = vx time = 186000…
Q: A particle known as a pion lives for a short time before breaking apart into other particles.…
A: Given that speed of pion and also given the lifetime of pion.Then We have to determine the value of…
Q: alled a kaon is created by cosmic radiation striking the atmosphere. Randomized Variables c =…
A: Givenc = 0.965 c t = 1.4 × 10-8 s
Q: The mean lifetime of pi mesons (pions) is 26 ns. A beam of pions is travelling at 0.93c. As measured…
A:
Q: Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. Randomized…
A:
Q: A particle known as a pion lives for a short time before breaking apart into other particles.…
A: Given Data:The speed of the particle Lifetime of pion To Determine:(a). The lifetime of the pion…
Q: A spaceship whose rest length is 406 m has a speed of 0.83c with respect to a certain reference…
A: Given: The rest length of spaceship is L=406 m. The speed of spaceship relative to reference frame…
Q: Two spaceships are moving along the line connecting them. One of the spaceships shoots a missile…
A: We will answer the question using the relativistic velocity addition formula. The detailed steps are…
Q: Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. It moves by…
A: Given data:Speed of particle is, .Actual life of particle is, .
Q: Muons are sub-atomic particles that are similar to electrons (except with much more mass). They are…
A:
Q: Suppose a spaceship heading directly away from the Earth at 0.75c can shoot a canister at 0.25c…
A: Given data : Velocity of Spaceship heading directly away from earth v1 = 0.75 c Velocity of…
Q: Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was…
A: The statement "The rocket's speed was measured to be 1.04c" is impossible, as the speed of an object…
Q: The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.65 ✕ 108 m/s relative…
A: The objective of this question is to calculate the lifetime of a neutron as measured by an observer…
Q: A supertrain of proper length 210 m travels at a speed of 0.85c as it passes through a tunnel having…
A: According to the special theory of relativity, if a body moves with a velocity v , which is nearly…
Q: If you were on a spaceship moving away from the Earth at 0.85c would you observe any change in your…
A: Solution: Given data, a spaceship moving away from the Earth at 0.85c
Q: A particle known as a pion lives for a short time before breaking apart into other particles.…
A: Given Data: Speed of the particle (v) = 0.986c.Lifetime of pion (T) = 3.4×10-8 s. To Determine: (a).…
Q: An alien spaceship has a mass ofm= 3.2×109kg, and according to the crew, onboard the bow-to-stern…
A: mass of spaceship (m) = 3.2×109 kg Length measured onboard (Lo) = 680 m Length measured by…
Q: Two spaceships are moving along the line connecting them. One of the spaceships shoots a missile…
A:
Q: Particle-X has a speed of 0.730 c and a momentum of 6.240×10-¹⁹ kgm/s. What is the mass of the…
A:
Q: with total relativistic energy equal to 1.7 times its rest energy. The speed of the particle is v.…
A: Total relativistic energy is equal to 1.7 times its rest energy. E = 1.7e
Q: Alice is moving with a velocity of 0.7c away from Bob in the positive x-direction. Bob observes two…
A:
Q: As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two…
A:
Q: Consider a particle moving with a speed of 0.99c. How fast does the particle need to move in order…
A: Relativistic momentum is given by p=mvp=mov1-v2c2 Here mo is the rest mass of the particle. v is the…
Q: A particle detector can be used to measure the speed of an unstable particle if the lifetime is…
A:
Q: What is the kinetic energy of an electron if its speed is 0.992c?
A: The kinetic energy of a moving object in the framework of classical mechanics is given by KE=12mv2…
Q: The proper lifetime of a certain particle is 100.0 ns. How long does it live in the laboratory if it…
A: Time is not absolute and measured time can be different for different observers. If an observer is…
Q: A particle known as a pion lives for a short time before breaking apart into other particles.…
A: Speed (v) = 0.990c Where, c = 3 × 108 m/s t = 2.6 × 10-8 s
Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…
A:
Q: A particle known as a pion lives for a short time before breaking apart into other particles.…
A: Given Data: Speed of the particle (v) = 0.986c.Lifetime of pion (T) = 2.8×10-8 s. To Determine: (a).…
Q: A particle is found to have a lifetime of 30 ms. It is found moving at a speed of 0.999c. How long…
A: As per the theory of special relativity time measured in a moving frame will be slower than the time…
Q: You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c.…
A: Observer measure the length of the spacecraft, It is left measure by observer according to whom…
Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…
A:
Q: A borg spaceship is in the shape of a cube of side 100.0 m when it is at rest with respect to an…
A: Measurements of lengths as well as time intervals are affected by relative motion.
Q: A relativistic proton has a momentum of 1.0 × 10-17 kg ∙ m/s and a rest energy of 0.15 nJ. What is…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- The measured mean lifetime of an elementary particle when it is at rest in the lab is measured to be 2.6x10-8 s. If the particle is observed while traveling at a speed v=0.9 c with respect to the lab. What will be the value of the measured mean lifetime while the particle is moving?Two electrons, A and B are approaching each other along a common straight line. Each has a constant speed of 0.6c as measured in the laboratory. What is the total energy of electron B as measured in the rest frame of A? Electron rest mass = 0.51 MeV/c. a) 3.1 MeV b) 1.1 MeV c) 6.3 MeV d) 0.7 MeV e) 5.4 MeV f) 2.3 MeVA particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.990c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 2.8 x 10-8 s. (a) What is the lifetime according to a hypothetical person who is riding along with the pion? (b) According to this hypothetical person, how far does the laboratory move Before the pion breaks apart? (a) Number (b) Number i Units Units
- 12. (a) A particle is traveling through the Earth's atmosphere at a speed of 0.750c. To an earth bound observer, the distance it travels is 2.5km. How far does the particle travel in the particle's frame of reference? (b) Calculate the momentum of an electron traveling at a speed 0.985c? The rest mass of the electron is 9.11 X 10-31 kg.A particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.992c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 2.7 x 10-8 s. (a) What is the lifetime according to a hypothetical person who is riding along with the pion? (b) According to this hypothetical person, how far does the laboratory move before the pion breaks apart? (a) Number (b) Number i Units UnitsConsider a proton moving with speed = 0.94 c. (c is the speed of light.) What is the kinetic energy, in MeV? (in MeV) OA: 1160 OB: 1449 OC: 1812 OD: 2265 OE: 2831 OF: 3539 OG: 4423 OH: 5529
- The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.57 ✕ 108 m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be (in s)?When pions are brought to rest their lifetime is 1.77´10-8 s. A beam of pions is produced in an accelerator and moves at a speed of 0.99c relative to the laboratory. After moving 39 m as measured in the la, half the pions have decayed. a) from the viewpoint of an observer in the lab frame and b) from an observer at rest in the frame of the moving pions that the two numerical results given in the problem for the half-life of the pions are consistent.An alarm clock is set to sound in 10.0 = h. Att 0, the clock is placed in a spaceship moving with a speed of 0.736 c (relative to Earth). What distance, as determined by an Earth observer, does the spaceship travel before the alarm clock sounds? (Hint: Keep track of your units!) answer in m
- A particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.988c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 3.3 x 10-8 s. (a) What is the lifetime according to a hypothetical person who is riding along with the pion? (b) According to this hypothetical person, how far does the laboratory move before the pion breaks apart? (a) Number (b) Number i Units Units # +Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.99c. The muon then travels at constant speed and lives 1.5 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.)Randomized Variablesv = 0.99 ct = 1.5 μs Part (a) How many kilometers does the muon travel according to an Earth-bound observer? Part (b) How many kilometers of the Earth pass by as viewed by an observer moving with the muon? Base your calculation on its speed relative to the Earth and its lifetime (proper time).The mean lifetime of mesons (pions) is 26 ns. A beam of pions is travelling at 0.93c. As measured in the laboratory: a) What is their mean lifetime? b) How far would they travel before they decay?