2. A famous thought problem in special relativity is the rocket paradox: Two rockets each of 300m rest length are passing head-on each with a speed of 0.866c. Observer O (see diagram) has agun in the tail of his rocket pointing perpendicular to the direction of relative motion. You mayassume there is basically no gap between the rockets as they pass each other.Bulet41BulletHe fires the gun when points a and a' coincide. In O's frame, theother rocket is Lorentz contracted, so O expects his bullet to miss.But in the frame of the other rocket's observer O', it is O's rocketthat is Lorentz-contracted and so expects that her ship will be hitby O's bullet.a. What is the relative speed of each ship to the other? (Hint: it isnot 0.866c - (-0.866c) = 1.732c)b. Does the bullet actually hit or miss the ship of O'? Explain youranswer, including what the problem with the language of theproblem setup is.

Lo=300 m (at rest frame)v=0.866c (w.r.t rest frame)

Answered: 2. A famous thought problem in special…

Similar questions

Suppose 5 rocketships are all traveling in â in some frame S. The speeds are: St (min) 100 B 0 0.25 0.5 0.75 0.99 7 1 How much time passes on the clocks inside each rocketship if 100 minutes elapse on the stationary rocketship?
An experimenter has studied the decay of a K° particle in which it emits a 7° at 0.8c. One such K° particle passes the experimenter at 0.5c and decays, emitting a 7° in the original direction of motion. In the experimenter's frame, the speed of the T° is measured to be O 1.3c. O between c and 1.3c. between .5c and .8c. O between .8c and c..
2. An observer P stands on a train station platform as a high-speed train passes by at u/c = 0.8. The observer P, who measures the platform to be 60 m long, notices that the front and back ends of the train line up exactly with the ends of the platform at the same time. How long does it take the train to pass P as he stands on the platform, as measured by his watch?
1) A rocket with a proper length of 2000 m moves at a speed of 0.85c directly away from an observer on Earth. An astronaut standing at the centre of the rocket fires two electrons at a speed of 0.95c through a vacuum pipe; one electron is aimed toward the front of the rocket, the other toward the rear. a) In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b) In the Earth observer's frame, calculate: i) the length of the rocket ii) the speed of the electron moving toward the front of the rocket i) the speed of the electron moving toward the rear of the rocket
In the Marvel comics universe, Quicksilver is awfully fast. Let's say he can run at a velocity of 0.56c. He measures a trip as having a distance of 4.60e+05 m. How much time does Quicksilver measure this trip as taking? 2.73e-3 S Does Quicksilver measure the proper or dilated time? 2 proper time v Quicksilver's sister, Wanda Maximoff, is standing stationary near where he is running. How much time does Wanda measure this trip as taking? 3 3.29e-3 S What distance does Wanda measure for Quicksilver's trip? 4 Xm
A rocket with a proper length of 1500 m moves at a speed of 0.87c directly away from an observer on earth. an astronaut standing at the centre of the rocket fires two electrons at a speed 0.99c through a vacuum pipe. One electron is aimed toward the centre of the rocket, the other toward the rear. a. In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b. In the Earth observer's frame, calculate the length of the rocket, and the speed of the two electrons moving towards the front and the rear of the rocket.
A person on Earth observes two rocket ships moving directly toward each other and colliding as shown in the figure below. At time t = 0 in the Earth frame, the Earth observer determines that rocket A, travelling to the right at vA = 0.80c, is at point a, and rocket B is at point b, travelling to the left at vB = 0.60c. According to the Earth observer they are separated by a distance l = 4.2 x 108 m as shown in the other figure. How much time will elapse in frame A from the time rocket A passes point auntil collision?
A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c. Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI units
Two rockets moving towards each other. Rocket A moving to the right with speed 0.80c while rocket B moving to the left with speed 0.60c. The length of the two rockets are the same, that are 50m as measured by the earth observer. i) What is the lengths of the two rockets as measured by the astronouts in their rockets? ii) What is the velocity of the rocket relative to each other? iii) If the earth observer measured the initial distance of the two rockets to be 2.52 x 1012 m apart, what are distance of the two rockets observed by observer in the rockets? iv) How long before they collide, observed by the observer in the rockets? v) If both rockets could evacuate within 90 min (their own time), will they survive?
If possible please do this on a computer. Thank you A spaceship passes you at a speed of 0.90c. You find the length of the ship in your frame of reference to be 50.0 m. A few months later, the ship docks, and you measure its length with a tape measure. What length does the tape measure show?