Question

Consider a radioactive nucleus that moves with a constant speed of 0.5c relative to

the laboratory. Suppose that the nucleus decays by emitting an electron with a speed

of 0.9c in a direction perpendicular to the direction of (the laboratory’s) motion as

determined by an observer at rest with respect to the nucleus. Find the magnitude and

direction of the velocity of an electron as measured by an observer in laboratory frame

of reference. ​

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Galilean and Lorentz expressions for u, differ by 2%? particle moves with a speed of 0.8c at an mined by the observer in S-frame. What is the velocity of the particle as deter- angle of 30° to the x-axis, as deter- mined by a second observer in S-frame, moving with a speed of-0.6c along the cómmon xar'-axis? A pion moving along x-axis with velocity 0.8c in the lab system decays by emit- ting a muon with velocity 0.6c along the incident direction (x-axis) in the rest system of pion. Find the velocity of the muon (magnitude and direction) in the lab system. After a while this muon also decays and emits an electron with a speed 0.9c along the direction of muon's motion. Find the velocity of the electron in the laboratory frame. 6. Consider a radioactive nucleus that moves with a constant speed of 0.5c relative to the laboratory. Suppose that the nucleus decays by emitting an electron with speed of 0.9c in a direction perpendicular to the direction of (the laboratory's) motion as determined by an observer at rest with respect to the nucleus. Find the velocity of the electron as measured by a an observer in the laboratory frame. 1