You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c.
(a) What is the proper length of the spacecraft?
(b) For a proper time interval of 1 sec., the relativistic time interval for the spacecraft measured from the earth reference frame would be:
(c) Time dilation does not apply to all time-dependent physical and biological processes. T/F?
(d) What is the relativistic length, DL measured from the reference frame of earth?
(e) An APOLLO crew left a flat mirror reflector on the surface of the moon. If the average surface-to-surface distance from the earth to the moon is 3.83 x 108 m, then how long does it take moonlight to reach earth?
You are an observer in a 100-m long spacecraft traveling from the earth to the moon...
A spacecraft is traveling at 0.900c relative to earth. An astronaut’s heart rate is measured on the spacecraft at 60 beats/min. (a) What is the heart rate measured by an observer in the moving reference frame? (b) What is the heart rate measured by an observer able to view this time interval from Earth?
. A spacecraft is traveling at 0.900c relative to earth. An astronaut’s heart rate is measured on the spacecraft at 60 beats/min. (a) What is the heart rate measured by an observer in the moving reference frame (b) What is the heart rate measured by an observer able to view this time interval from Earth?
A spacecraft of proper length Lo = 48.0 m is moving in the +x direction at a constant Lorentz factor y = 2.20 relative to an inertial frame, the Earth frame. The spacecraft is aligned with the direction of motion. The tip of the spacecraft crosses the origin (x = 0) at tA = 0 in the Earth frame and t'A = 0 in the frame of the moving spacecraft. a. What is the speed parameter of the spaceship B?...
These are the answers, please provide the work for the calculation 1. Two cells that subdivide on Earth every 10.0s start from the Earth on a journey to the Sun (1.5 x 1011 m away) in a spacecraft moving at 0.850c. How many cells wil exist when the spacecraft crashes into the Sun? Earth time is 588s. Spacecraft time is 310s or 31 cycles of division. 2312.1x 10 cells at the end of the journey. 2. As a spacecraft moving...
Practice Problem 27.3 SOLUTION A spaceship flies past earth with a speed of 0.980c (about 2.97 x 10 m/s) relative to earth. A crew member on the spaceship measures its length, obtaining the value 400 m. What is the length measured by observers on earth? SET UP The length of the spaceship in the frame in which it is at rest (400 m) is a proper length in this frame, corresponding to lo in We want to find the length...
1) A particle has a rest mass of 6.95×10−27 kg and a momentum of 5.15×10−18 kg⋅m/s. Determine the total relativistic energy of the particle.E= JJ Find the ratio of the particle's relativistic kinetic energy to its rest energy. ??rest= 2) Estimate the difference Δtdiff in a 15000-s time interval as measured by a proper observer and a relative observer traveling on a commercial jetliner. Δ?diff= s 3) Suppose that you have found a way to convert the rest energy of...
A 200 m long rocketship moves parallel to its length with speed v = 0.9c relative to you. (a) Compute the length of the rocketship measured by you. (b) How long does it take for the rocketship to pass you? (c) In the frame-of-reference of the rocketship, how long does it take for you to travel from one end of the rocketship to the other as you pass by the rocketship? (d) One of the two time intervals calculated in...
Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was measured to be 0.65c. The rocket's rest length is 300 m. An observer flying by measured the rocket to be 321 m long. A rocket flying away from the Sun at 0.78c measured the speed of the photons (particles of light) emitted by the Sun to be c. An inertial reference frame had an acceleration of 0 m/s2.The proper time interval between two events was...
One of the primary goals of the Kepler space telescope is to search for Earth-like planets. Data gathered by the telescope indicates the existence of one such planet named Boralis orbiting a star 120 ly from our solar system. Consider an interstellar spaceship leaving Earth to travel to Boralis. The ship can reach 0.70c almost instantly and can also decelerate almost instantly. The ship is 175 m long in its reference frame. (a) What is the length of the moving...
One of the primary goals of the Kepler space telescope is to search for Earth-like planets. Data gathered by the telescope indicates the existence of one such planet named Boralis orbiting a star 120 ly from our solar system. Consider an interstellar spaceship leaving Earth to travel to Boralis. The ship can reach 0.96c almost instantly and can also decelerate almost instantly. The ship is 169 m long in its reference frame. (a) What is the length of the moving...