If a m = 87.5 kg person were traveling at v = 0.992c, where c is the speed of light, what would be the ratio of the person's relativistic kinetic energy to the person's classical kinetic energy? kinetic energy ratio: What is the ratio of the person's relativistic momentum to the person's classical momentum? momentum ratio:
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- 1. If a subatomic particle moves close to the speed of light. Its decay would occur ___? 2. A space explorer travels between asteroids that are 100 000 m apart. His/her space probe travels with constant speed of 0.8c=2.4x108 m/s. What is the time of the trip between asteroids measured by observer on one of the asteroids? Write your answer rounded to 2 decimal places in msIf a m = 90.7 kg person were traveling at v = 0.875c, where c is the speed of light, what would be the ratio of the person's relativistic kinetic energy to the person's classical kinetic energy? kinetic energy ratio: What is the ratio of the person's relativistic momentum to the person's classical momentum? momentum ratio:Two spaceships A and B are exploring a new planet. Relative to this planet, spaceship A has a speed of 0.60c, and spaceship B has a speed of 0.78c. What is the ratio DA/DB of the values for the planet's diameter that each spaceship measures in a direction that is parallel to its motion? Number Units
- Two atomic clocks are synchronized. One is placed on a satellite which orbits around the earth at high speeds for a whole year. The other is placed in a lab and remains at rest with respect to the earth. You may assume both clocks can measure time accurately to many significant digits. a)Will the two clocks still be synchronized after one year? b) imagine the speed of light is much lower than its actual value. How would the results of this experiment change if the speed of light was only twice the average speed of the satellite? Explain your reasoning using a calculation.A rocket is traveling through space and its Lorentz factor (y) is 3.9. Determine the rocket's speed (in terms of c) and the ratio of its kinetic energy to its total energy. V= ? X c KE/E= ?these are all incorrect
- A particle has a rest mass of 6.15 x 10-27 kg and a momentum of 4.24 x 10-18 kg-m/s. Determine the total relativistic energy E of the particle. J E = Find the ratio of the particle's relativistic kinetic energy K to its rest energy Erest- K ErestAstrophysics 14 Use Newton's second law, F = dp/dt, and the formula for relativistic momentum, Eq. ( 44), to show that the acceleration vector a = dv/dt produced by a force F acting on a particle of mass m is F (F. v), ymc² Ym where F· v is the vector dot product between the force F and the particle velocity v. Thus the acceleration depends on the particle's velocity and is not in general in the same direction as the force. mv p = /1 – v²/c² = ymv (44) VI -