Cosmic rays colliding with Earth's upper atmosphere produce highenergy particles called muons. An observer detects that a muon has been created, and observes that it reaches the surface of the Earth 20.0x10^-6 seconds later. The observer also determines that the muon was moving at 2.97x10^8 m/s. In the muon's reference frame, how much time passed between its creation and reaching the surface of the Earth?

A muon is created 60 km above the surface of the earth. In the earth’s frame, the muon is traveling directly downward at 0.9999c.a. In the earth’s frame of reference, how much time elapses between the muon’s creation and the time it reaches the surface?b. Use time dilation to determine, in the muon’s frame, how much time elapses between the muon’s creation and the time it reaches the surface.c. In the muon’s frame of reference, length contraction reduces the distance between the point at which it is created and the surface of the earth. What is this distance?d. The ratio of the distance you calculated in part c and the time you calculated in part b is a speed. Calculate this speed; what do you notice?

an aerospace is moving away from the earth at a velocity v = 0.6c to carry out a research. when the aircraft is at a distance of d = 5 x 10 ^ 8 km from the earth, a radio signal is sent to the aircraft from observers on earth. Count ita. How long does it take for the signal to reach the plane if calculated by researchers on earth and the crew on board?b. if an observer on earth measures the dimensions of the plane as long as 67 m, then how long is the plane measured by the crew on board?

Particle-X has a speed of 0.730 c and a momentum of 6.240x10-¹⁹ kgm/s. What is the mass of the particle? What is the rest energy of the particle? What is the kinetic energy of the particle? What is the total energy of the particle?