A positive K meson (K+) is an unstable subatomic particle that decays into other particles. At rest, its mean lifetime is 1.23 * 10-8 s. (a) What do you measure the mean lifetime of a K+ to be if it is moving at 0.800c relative to you? (b) As measured from the reference frame of this K+, what is the mean lifetime of a second K+ that is at rest relative to you?
Q: pion
A:
Q: Two π+ mesons are created. One is created at rest in the laboratory, and one moving at v = (4/5)c. c…
A: Given : Let us say that π1 is created at rest in the laboratory frame and π2 is the one which is…
Q: A futuristic spaceship flies past MARS with a speed of 0.65c relative to the surface of MARS. Inside…
A:
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: (a) What is the momentum (in kg · m/s) of a proton moving at 0.662c? kg · m/s (b) At what speed (in…
A: (a) momentum of the proton prel=m0v1-v2c2=1.67×10-27 kg0.6223.0×108 m/s1-0.662c2c2=4.157×10-19…
Q: The mass of a muon is 207 times the electron mass; the average lifetime of muons at rest is 2.20 ms.…
A: a)The time dilation equation is given by,
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) What is the momentum (in kg · m/s) of a proton moving at 0.674c? kg · m/s (b) At what speed (in…
A: Given data:- the given value of proton moving, 0.674c we know the speed of light is, c=3×108 m/s
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: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…
A: (a) Given: The speed of the muon is 0.99c. The time for which the muon lives is 1.45 μs.…
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: A rod lies parallel to the x-axis of a stationary frame. It is moving on a frame along this axis at…
A: v= 0.632c L= 1.68m A) length is measured by Newton's special relativity laws
Q: Two particles in a high-energy accelerator experiment are approaching each other head-on, each with…
A: Given that:In a high energy accelerator experiment, two particles are approaching each other head-on…
Q: Muons are sub-atomic particles that are similar to electrons (except with much more mass). They are…
A:
Q: A particle having a lifetime of 50 ms is moving at a velocity of 0.98c. How long does it live?
A: As per the theory of special relativity, time is relative. Time perceived by an observer will depend…
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: An object with a rest mass of 12420.5 MeV/c2 is moving with a β of 0.406. What is the relativistic…
A: An object with a rest mass of 12420.5 MeV/c2 is moving with a β of 0.406
Q: (a) What is the momentum (in kg · m/s) of a proton moving at 0.716c? kg · m/s (b) At what speed (in…
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) = 3.4×10-8 s. To Determine: (a).…
Q: An unstable particle with a mass equal to 3.34 x 10-27 kg is initially at rest. The particle decays…
A:
Q: Two spaceships are moving along the line connecting them. One of the spaceships shoots a missile…
A:
Q: T55. Consider a subatomic particle for which the mean lifetime is 480 ns in its rest frame. If it…
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: As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two…
A:
Q: The space bus is 2.0 km long in its own frame and moves towards planet earth at a speed of 0.6c. Jim…
A:
Q: A particle has a lifetime of 121 nanoseconds, as measured in its own moving reference frame. It…
A: Given that, the lifetime of the particle in its own moving frame is ∆t=121ns=121×10-9s the speed of…
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: 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).…
A positive K meson (K+) is an unstable subatomic particle that decays into other particles. At rest, its mean lifetime is 1.23 * 10-8 s. (a) What do you measure the mean lifetime of a K+ to be if it is moving at 0.800c relative to you? (b) As measured from the reference frame of this K+, what is the mean lifetime of a second K+ that is at rest relative to you?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- A particle is found to have a lifetime of 30 ms. It is found moving at a speed of 0.999c. How long can the particle be observed in a laboratory if it is moving at the given speed.Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.765c. The muon then travels at constant speed and lives 1.6 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.)Randomized Variablesv = 0.765 ct = 1.6 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).Please answer D A spaceship from another galaxy passes over the solar system directly above a radial line from the sun to the Earth. (We measure the distance between the Earth and the Sun to be 1.496 x 1011 m.) An observer standing on the Earth measures that the spaceship is approaching at 0.800c. The Earth-based observer also measures that it takes the spaceship 625 seconds to travel from the sun to Earth. Ignore the relative motion of the Sun and Earth in this problem – their relative speed is only 0.001c, negligibly small compared to 0.800c. a) According to a scientist in the spaceship, the Earth-Sun distance is: 8.976 x 1010m b) According to a scientist in the spaceship, the time it takes her to travel the Earth-Sun distance is: 357s c) What is the ratio of the kinetic energy to rest energy of the spaceship? KE/ER = 0.667 d) As the spaceship passed over the Sun, the alien scientist launched a probe toward Earth, traveling at 0.200c relative to the spaceship. What would the…
- 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 0.990c, 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 UnitsA 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 UnitsA spaceship from another galaxy passes over the solar system directly above a radial line from the sunto the Earth. (We measure the distance between the Earth and the Sun to be 1.496 x 1011 m.) Anobserver standing on the Earth measures that the spaceship is approaching at 0.800c. The Earth-basedobserver also measures that it takes the spaceship 625 seconds to travel from the sun to Earth. Ignorethe relative motion of the Sun and Earth in this problem – their relative speed is only 0.001c, negligiblysmall compared to 0.800c.a) According to a scientist in the spaceship, the Earth-Sun distance is: ______8.9 x 10 ^10__________________b) According to a scientist in the spaceship, the time it takes her to travel the Earth-Sun distance is:_________374 s _______________c) What is the ratio of the kinetic energy to rest energy of the spaceship? KE/ER = _______0.667__________d) As the spaceship passed over the Sun, the alien scientist launched a probe toward Earth, traveling at0.200c relative to…
- 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)?An elementary particle produced in a laboratory experiment travels 0.230 mm through the lab at a relative speed of 0.960c before it decays (becomes another particle). (a) What is the proper lifetime of the particle? (b) What is the distance the particle travels as measured from its rest frame?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.
- 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?