A particle is moving in the +x direction at speed c/2. Another particle is moving in the -x direction at speed c/2 toward the first particle. what is the speed of one particle as seen by an observer moving with the other particle?

Q: As the drawing shows, a carpenter on a space station has constructed a 30.0° ramp. A rocket moves…

A: v = 0.854cwhere c is the speed of lightθ = 30° Since it is in x-direction, there will be length…

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.975c. Two…

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Q: Two rockets are approaching each other on a collision course. Relative to a stationary observer on…

A: Given data: The lengths of rocket is L. The speed of rocket 1 is v1=9/10 c=0.9c. The speed of…

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

A: Given that :v=0.94 ct=1.525 μs

Q: (a) What is the momentum (in kg · m/s) of a proton moving at 0.662c?  kg · m/s (b) At what speed (in…

A: (a) momentum of the proton prel=m0v1-v2c2=1.67×10-27 kg0.6223.0×108 m/s1-0.662c2c2=4.157×10-19…

Q: It is given frame Fo and one point P with coordinate p" = [1, 2, 3]' in Fo. we do the following…

A: We will be using the idea of rotation matrices to solve this problem. We will first write the matrix…

Q: A particle travels at 1.90 x 108 m/s and lives 2.10 x 10-8 s when at rest relative to an observer.…

A: The decay time in the rest frame is, The particle’s velocity is,

Q: A spaceship in distress sends out two escape pods in opposite directions. One travels at a speed v1…

A:

Q: Frame A is stationary. A ball is fired in the x-direction with a speed of 5 m/s. If Frame B is…

A: Frame A is stationary. A ball is fired in the x-direction with a speed of 5 m/s. If FrameB is moving…

Q: Reference frame S' moves at speed v =0.95c in the +a direction with respect to reference frame S.…

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Q: If a spaceship, approaching the Earth at 0.190c, sends a message capsule toward the Earth at 0.390c…

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Q: An observer in reference frame S′ observes that a lightning bolt strikes the origin, and 1.0×10−4 s…

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Q: A spacecraft is moving past Earth at a constant speed v which is 0.90c. The astronaut measures the…

A: The time interval ∆t that the observer on Earth measures between the ticks at the astronaut’s clock…

Q: what will be the velocity of light as seen by an observer at rest?

A: according to Galileo's classical view of relativity light is treated as all other things.

Q: An observer in inertial frame S measures the space and time coordinates of an event to be x=750 m,…

A: From the question, it is given that- x = 750 m, y = 250 m, z = 250 m, and t = 2.0 x 10-6 s Speed of…

Q: ?⃗ =?⃗ +?⃗ ?v→=w→+v→F

A: As dog moving forward with velocity of 2 m/s forward and also spider moving in same direction with…

Q: With respect to the earth, object 1 is moving at speed 0.90c to the right. Object 2 is moving to the…

A: See below

Q: (a) at the time a space moving with speed V 0.5 c passes a space station located near Mars, a radio…

A: given data ;      v = 0.5c this is relativity problem ,so if the space station is located at a…

Q: A rod is to move at constant speed v along the x axis of reference frame S, with the rod's length…

A: La = 1.5 m v = 0.94 c L at β having value 0 = 45×La= 0.8×1.5 m = 1.2 m

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

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Q: Inertial frame S' moves at a speed of 0.60c with respect toframe S. Further, x = x' = 0 at t = t' =…

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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.…

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Q: A rocket cruises past a laboratory at 0.400 x 10° m/s in the positive I-direction just as a proton…

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Q: Suppose there is someone in a spaceship ̄O moving at some velocityνrelative to anobserver O. The…

A: Given,Spaceship O¯ which is moving at some velocity, v relative to an observer OThe time interval…

Q: The origins of two frames coincide at t = t' 0 and the relative speed is 0.993c. Two micrometeorites…

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Q: An astronaut in a rocket moving at 0.50c toward the sun finds himself halfway between the Earth and…

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Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.956c. Two…

A: If the relative speed between S and S' frame is v then the Lorentz transformation gives the…

Q: A person on earth notices a rocket approaching from the right at a speed of 0.79c and another rocket…

A: Given  V1 = 0.79c  moving  from  right  to  left  . (w.r.t observer at earth)  V2 = 0.55 c    moving…

Q: is 0.961c. Two micrometeorites collide at coordinates x = 129 km and t = 192 μs according to an…

A: Given:- The origins of the two frames coincide at t = t' = 0 and the relative speed is 0.961c. Two…

Q: An observer in reference

A: 2.29×10-4 s

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: An observer sitting on shore sees a canoe traveling 5.0 m/s N70°E, and a sailboat traveling 15.0 m/s…

A:

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

A: Given: The speed of the particle with respect to S' is 0.33c.  The speed of the frame S' with…

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: Which is not an inertial frame?       Earth A stationary frame An accelerated frame A frame moving…

A: A frame of reference is basically a coordinate system in which motion of object is analyzed. There…

Q: a. There exists a frame in which these events occur at the same time. Find the velocity of this…

A: (a)Assume v as the velocity of frame S and the time in that frame for the event 1 is given as, And…

Q: Reference frame B moves past frame A with a constant relative velocity. A particle has an…

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Q: Apply the special theory of relativity to prove that the time interval t in the moving reference…

A: Consider that you are in an inertial frame (S) where there is a light clock consisting of 2 mirrors…

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

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Q: The time interval ΔΔt between two events measured by an observer moving with respect to a clock1 is…

A: Required : True or False.

Q: (a) A spaceship moves along the x' axis of frame S' with velocity 0.40c. Frame S' moves with…

A: Given: velocity of spaceship in frame S'  = 0.40 C velocity of frame S' with respect to S = 0.60 C

Q: Susan is running to the right, in the +x-direction, at 2 m/s. A bird flies past her, traveling to…

A: Since Susan is moving in +x direction, she has positive velocity. The bird on the hand, is moving in…

Q: A rocket measures 100 m long in its own frame (S') and is travelling at 0.995c relative to a frame…

A: a) In the S' frame, the time taken by the light pulse to arrive back at the tail of the rocket is…