Suppose that an observer with 4-velocity us measures the energy of a particle with 4-momentum p". Write a coordinate-independent expression for the energy measured.
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- Since there is an upper limit on the speed of a particle, does it follow that there is also an upper limit on its momentum, and, therefore, on its kinetic energy? Explain.At relativistic speeds near that of light, the half-life of an unstable particle moving at high speed is longer than when it is at rest. an object is longer when moving than when it is stationary. O light emitted by a moving source moves at the same speed with the same frequency. effects precede causes in some inertial frames. lengths and times only appear different and have no effect on other measurable quantities.Calculate the kinetic energy of on electron whose momentum is 2 Mev/c. b) Calculate the Velocfty of electron whose kinetic energy is 2 Mev.
- Particle physicists use particle track detectors to deter- mine the lifetime of short-lived particles. A muon has a mean lifetime of 2.2 µs and makes a track 9.5 cm long before decaying into an electron and two neutri- nos. What was the speed of the muon?A golf ball travels with a speed of 90.0 m/s. By what fractiondoes its relativistic momentum magnitude p differfrom its classical value mu? That is, calculate the ratio(p mu)/mu.(a) Find the momentum (in kg- m/s) of a 1.20 x 109 kg asteroid heading towards the Earth at 3,050 km/s. (Hint: Use the approximation that y = 1 + 2c² least six significant figures.) kg-m/s (b) Find the ratio of this momentum to the classical momentum. (Enter your answer to at least six significant figures.) Р Pclassical at low velocities. Enter your answer to at