In inertial reference frame A, the energy and the momentum of a particle are measured to be 30[MeV] and 15[MeV], respectively. In rocket frame B that is moving at speed 0.6 relative to frame A, the energy of the same particle is measured to be 25[MeV] while the momentum is unspecified. What is the mass of the particle in inertial reference frame B?
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![In inertial reference frame A, the energy and the momentum of a
particle are measured to be 30[MeV] and 15[MeV], respectively. In
rocket frame B that is moving at speed 0.6 relative to frame A, the
energy of the same particle is measured to be 25[MeV] while the
momentum is unspecified. What is the mass of the particle in inertial
reference frame B?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5240e065-66e9-4cc3-86be-a2efb023bad9%2F4a1659ac-077b-4bf2-a8a3-95f3b7ccd310%2Frwg7wdi_processed.jpeg&w=3840&q=75)
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- 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 Units12. (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 is accelerated from 0.975c to 0.992c as measured in a laboratory reference frame. This is a change in speed of only 1.7% and the ratio of the velocities is 1.017 (as measured in the lab frame). What is the ratio of the particle momentum when moving at 0.992c as compared to when it was moving at 0.975c? This ratio should be expressed as a decimal number. P2 P₁
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- The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a reference frame in which the muons are stationary, if the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 ms. Suppose the muons move at a speed of 0.95 c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?A particle has a rest energy of 4.31×10−13 J and a total energy of 8.33×10−13 J. Calculate the momentum p of the particle.