Two radioactive nuclei are traveling in space to the right at 0.42c with respect to Earth. They both decay. One nucleus emits a beta particle to the right at 0.2c relative to the nucleus. The other nucleus emits a gamma ray photon to the rigth. How fast does the beta particle travel relative to Earth? How fast does the gamma photon travel relative to Earth?
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Two radioactive nuclei are traveling in space to the right at 0.42c with respect to Earth. They both decay. One nucleus emits a beta particle to the right at 0.2c relative to the nucleus. The other nucleus emits a gamma ray photon to the rigth. How fast does the beta particle travel relative to Earth? How fast does the gamma photon travel relative to Earth?
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- 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. The crew of the spacecraft conducted research on the collision of an atom. if the hydrogen atom (m = 1.67355 x 10 ^ -27 kg) is moving at the velocity vH = 3.518 x 10 ^ 7 m / s colliding with the nitrogen atom at rest (mN = 2.353 x 10 ^ -26 kg). After the collision, the hydrogen atom is known to be moving with the velocity v'H = 1.353 x 10 ^ 6 m / s at an angle (thaH = 66.74 degrees) relative to the origin of the motion of the hydrogen atom. determine the velocity (magnitude and direction) of the nitrogen atom after the collision and compare the kinetic energy before and the total kineic energy of the atoms after the collision, explaining the meaning of this kinetic energy ratio.An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 2.90 ✕ 10−28 kg and that of the heavier fragment is 1.70 ✕ 10−27 kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment?TJ,CJ & DJ are working at a particle accelerator facility. In one experiment, they observe that particles A and B collide head on at relativistic speeds. If the velocity of A is 0.764c to the left, and the velocity of B is 0.324c to the right (both of these speeds are measured in Earth's rest frame), how fast are the particles moving with respect to each other?
- Consider a particle with total relativistic energy equal to 1.7 times its rest energy. The speed of the particle is v. What is v/c? OA: 0.5049 B: 0.5908 OC: 0.6912 OD: 0.8087 OE: 0.9462 OF: 1.1070 OG: 1.2952 OH: 1.5154A Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes earth with a speed v = 0.76c relative to it. Assume that the three planets do not move relative to each other during the trip. The distance between Mars and Venus is 1.20 × 1011 m, as measured by a person on earth. (a) What does the Martian measure for the distance between Mars and Venus? L = (b) What is the time of the trip (in seconds) as measured by the Martian? Δto =A rocket cruises past a laboratory at 0.400×106m/s in the positive x-direction just as a proton is launched with velocity (in the laboratory frame)v⃗ =(1.55×106i^+1.55×106j^)m/s. a. What is the proton's speed in the laboratory frame? b. What is the angle from the y-axis of the proton's speed in the laboratory frame? c. What is the the proton's speed in the rocket frame? d. What is the angle from the y-axis of the proton's speed in the rocket frame?
- A particle has a rest mass of 7.15×10−27 kg and a momentum of 5.75×10−18 kg·m/s. Determine the total relativistic energy ? of the particle. ?= J Find the ratio of the particle's relativistic kinetic energy ? to its rest energy ?rest. ??rest=How much energy is contained in 0.525 g of matter? Recall the speed of light c = 3.00 * 10 ^ 8 * m / s = 1.86 * 10 ^ 5 * mi / s.Many expressions in special relativity contain the gamma (y) factor. 1 Y √1-v²/c² In the equation, u is the speed of some object or reference frame and c is the speed of light. Find the numerical value of y for each of the listed speeds. U = 0, 1 Y = V = 0.450c, Y = V = 0.980c, Y = 5.03
- A free neutron has a mean lifetime of about 14.9 minutes when it is viewed from an inertial reference frame at rest with respect to the neutron. The neutron has a mass of 1.675 x 10^-27 kg.a. If the neutron is traveling at 0.9995 c, what is its lifetime as measured by a lab-based (Earth-based) observer?b. What is the neutron's rest energy in MeV (mega electron-volts)? Conversion: 1 MeV=1.602 x10^-13c. What is the neutron's kinetic energy in MeV when it is traveling at 0.9995c?Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving away from the earth with a speed of 0.580c. If the radiation has a frequency of 8.64 x 1014 Hz in the rest frame of the star, what is the frequency measured by an observer on earth?A particle detector can be used to measure the speed of an unstable particle if the lifetime is known. Particle 'X' has mean lifetime 7 in its rest frame. Suppose 'X' particles are created in an experiment inside the detector by a nuclear reaction. If the 'X' particles leave tracks with mean length L before they decay into other particles, what is the mean speed of the 'X' particles? Express the answer in terms of the speed of light. T = 282.0 ps; L= 10.5 cm;