An experimenter arranges to trigger two flashbulbs simultaneously, producing a big flash located at the origin of his reference frame and a small flash at x = 30.0 km. An observer moving at a speed of 0.250c in the positive direction of x also views the flashes. (a) What is the time interval between them according to her? (b) Which flash does she say occurs first?

Q: A spaceship heads directly toward an asteroid at a relative speed of 0.75c. When it is 3.0 x 108 m…

A: Time interval between the events in the spaceship's frame ∆ts=∆ta1-vc2=∆Lv-∆Lc1-vc2=∆Lccv-11-vc2

Q: The astronaut whose heart rate on Earth is 60 beats/min increases his velocity to v = 0.75 c. Now…

A:

Q: Two spaceships approach the Earth from opposite directions. According to a stationary observer on…

A: The answer is below

Q: A light flashes at position x = 0 m. One microsecond later, a light flashes at position x = 1000 m.…

A: In first reference frame S, Spatial interval of the event, ∆x=1000 m-0 m      =1000 m   Temporal…

Q: An astronaut at rest on Earth has a heart rate of 70 beats/min. When the astronaut is traveling in a…

A:

Q: A supertrain of proper length 94 m travels at a speed of 0.93c as it passes through a tunnel having…

A: The Lorentz transformation is the contraction of length l of any object with respect to the moving…

Q: A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by…

A: Proper length = L∘=100 m Speed = v = 0.9  Say length observed from earth is L The formula used will…

Q: Calculate the interval ∆s2 between two events with coordinates (x1 = 50 m, y1 = 0, z1 = 0, t1 = 1…

A:

Q: A spaceship in distress sends out two escape pods in opposite directions. One travels at a speed v =…

A: Given:-   The speed of the first escape pod, assuming it is moving towards the right VA = 0.66c The…

Q: A red light flashes at position xR = 3.00 m and time tR = 1.00 × 10-9 s, and a blue light flashes at…

A:

Q: Otávio and Diana are at rest in the frame S', which moves at 0.600c in

A: Yes

Q: Observers in reference frame S see an explosion located at x1= 480 m. Asecond explosion occurs 5μs…

A:

Q: Two particles are created in a high-energy accelerator and move off in opposite directions. The…

A: The velocity of the first particle in the laboratory framev1=0.580 c The velocity of the second…

Q: A spacecraft with the shape of a sphere of diameter D moves past an observer on Earth with a speed…

A: The length of the object contacted in the direction of its motion.The contracted length is

Q: The origins of two frames coincide at t = t' 0 and the relative speed is 0.991c. Two micrometeorites…

A: We have two inertial frames of references as S and S' with coordinates (x, y, z, t) and (x', y', z',…

Q: A supertrain of proper length 1.00 X 102 m travels at a speed of 0.95c as it passes through a tunnel…

A: Formula to calculate the contacted length of the train measured by the track side observer is,

Q: How fast must an object travel for its total energy to be 50% more than its rest energy?

A: Given Data:- Total energy of the object is 50%  more than its rest energy. Required:- Speed of the…

Q: A rod lies parallel to the x axis of reference frame S, moving along this axis at a speed of 0.630c.…

A:

Q: Frame S' has a speed v = 0.6c relative to S in x direction which is parallel to x'. The clocks on S…

A: Given : Speed of S' with respect to S, v = 0.6c The clocks on S and S' are adjusted so that t= t'= 0…

Q: Experimenter A in reference frame S stands at the origin looking in the positive x-direction.…

A:

Q: A supertrain of proper length 100 m travels at a speed of 0.95c as it passes through a tunnel having…

A:

Q: While flying past a space station at 0.500c, and at precisely 6.00 seconds before arriving at the…

A:

Q: In the earth’s rest frame, two protons are moving away from each other at equal speed. In the frame…

A:

Q: An astronaut traveling at a speed of 0.75c requires 25 years, as measured on Earth, to make a round…

A: given: velocity v=0.75 c with respect to Earth T =25 yrs

Q: Suppose a cosmic ray colliding with a nucleus in the Earth’s upper atmosphere produces a muon that…

A: Speed of light, c = 3×108 m/sVelocity of muon, v = 0.95cTime period, ∆t0 = 1.52×10-6 s β = vcβ =…

Q: An alien spacecraft moving with the speed of 0.30c with respect to Earth, fires photon torpedoes…

A: Given: Alien spacecraft speed, v = 0.30c Speed of the photon torpedo with respect to the spaceship,…

Q: The origins of the two frames coincide at t = t’ = 0 and the relative speed is 0.990 c. Two…

A:

Q: A cube of steel has a volume of 1.00 cm3 and mass 8.00 g when at rest on the Earth. If this cube is…

A: It is given that,

Q: A moving spaceship is measured by a stationary observer to have a length that is four-fifths of its…

A: Given, A moving spaceship is measured by a stationary observer to have a length that is four-fifths…

Q: A particle moves along the x' axis of frame S' with velocity 0.33c. Frame S' moves with velocity…

A: Given data A particle moves along the x axis of frame s with velocity 0.33c Frame s moves with…

Q: The positive muon (µ), an unstable particle, lives on average 2.20 x 10 reference) before decaying.…

A:

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.991c. Two…

A: a) To find the spatial coordinate of collision for an observer in frame s by Lorentz transformation…

Q: According to observer O, a blue flash occurs at ?1 = 10.4m when ?1 = 0.124µs and a red flash occurs…

A: Given : x1 = 10.4 m t1 = 0.124µs = 0.124 x 10-6 s x2 = 23.6 m t2 = 0.138µs = 0.138 x 10-6 s

Q: As measured from the Earth, a spacecraft is moving at speed 0.80 c when it releases a probe at speed…

A:

Q: A person on earth notices a rocket approaching from the right at a speed of 0.75c and another rocket…

A: Given data: Velocity of the rocket from right side, vR→=-0.75cx^  Velocity of the rocket from left…

Q: 2.2. A rod of mass m = 1 kg flies with constant velocity past a mark which is stationary in the K…

A:

Q: A computer in a laboratory requires  5.60 μs  to make a certain calculation, as measured by a…

A:

Q: In a nuclear reaction two identical particles are created,traveling in opposite directions. If the…

A: Given Data: The speed of the first particle is, u = -0.82c. The speed of the second particle is, v…

Q: e t = 0 in the Earth frame, the Earth observer determines that rocket A, travelling to the right at…

A: We draw a figure according to the given data in the question  here l= 4.2 x 108 m   [ Given ]

Q: An armada of spaceships that is 1.00 ly long (as measured in its rest frame) moves with speed 0.800c…

A:

Q: Calculate the interval ∆s2 between two events with coordinates ( x1 = 50 m, y1 = 0, z1 = 0, t1 = 1…

A: Einstein with his special theory of relativity brought in an entirely new understanding of the world…

Q: A particle is traveling through the Earth’s atmosphere at a speed of 0.119c . To an Earth-bound…

A:

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.