A rocket moves with a velocity of 0.92c to the right with respect to a stationary observer A. An observer B moving relative to observer A finds that the rocket is moving with a velocity of 0.95c to the left. What is the velocity of observer B relative to observer A? (Hint: Consider observer B ’s velocity in the frame of reference of the rocket.)

Q: A projectile is fired from a rocket traveling with a velocity of 0.6c relative to the ground, with a…

A: Given, velocity of rocket with respect to ground is, v = 0.6c velocity of bullet with respect to…

Q: In the laboratory inertial frame, which we assume to be inertial, two events occur simultaneously at…

A: Given data: Δx= 3 m & Δt=10-8 sTo Calculate: Spatial Distance(Δx')

Q: A meter stick is moving towards right with a speed 0.9c . The stick is making angle 23° above the…

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Q: Spaceships A and B move in opposite directions at the same speed of 0.431c relative to earth, with A…

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Q: A particle with mass m has speed 0.649c relative to inertial frame S. The particle collides with an…

A: The mass of particle-1 is given as, m1=m, The mass of particle-2 is given as, m2=m, The initial…

Q: An elementary particle travels at 0.840c across a solar system that has a diameter of 8.14 × 10^12 m…

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Q: An observer in reference frame S claims that two events occur simultaneously. As this observer sees…

A: Given data- An observer in reference frame S claims two events occur simultaneously- Event A point…

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

A: Given that:- Two spaceships A and B approch the earth from opposite directions.

Q: (a) What is the momentum (in kg · m/s) of a proton moving at 0.674c?  kg · m/s (b) At what speed (in…

A: Given data:- the given value of proton moving, 0.674c we know the speed of light is, c=3×108 m/s

Q: A rocket moves with a velocity of 0.852c to the right with respect to a stationary observer A. An…

A: Given data: vA=0.852cvB=−0.936c

Q: Luke is in a spaceship travelling at speed B = 0.6 relative to the Death Star (rest frame S). Luke…

A:

Q: A rocket moves with a velocity of 0.832c to the right with respect to a stationary observer A. An…

A: Given Data : The velocity of the rocket with respect to observer A is given as vra = 0.832c. The…

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.968c. Two…

A: Given: The relative speed is 0.968c. The coordinates of collision are x=98.2 km and t=239 μs.…

Q: A subatomic particle muon travels at constant velocity 0.9c and lives 1.2us as measured in the…

A:

Q: Two fireworks are at rest 300 m apart. They both go off simultaneously to an observer on the ground…

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Q: In inertial reference frame A, the energy and the momentum of a particle are measured to be 30[MeV]…

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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: System S' has a velocity u = +0.31c relative to system S, as shown in the figure. The clocks of S…

A: We can relate the coordinate of S and S' frames as,

Q: ary observer, their relative speed is 0.7c. Calculate the velocities o

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Q: Imagine Punch lives on the Earth at rest. Judy is traveling past the earth with a speed of 0.600 c.…

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Q: (a) What is the momentum (in kg · m/s) of a proton moving at 0.716c?  kg · m/s (b) At what speed (in…

A:

Q: Two spaceships pass each other traveling in opposite directions. A passenger on ship A, which she…

A: 100-m 0.920 c 36.0 m 95.0 2.20×108 m/s

Q: Chapter 37, Problem 006 Reference frame S' is to pass reference frame S at speed v along the common…

A: Solution:   Given values,   Time(∆ta)=14 svelocity(v)=0.99c

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A: Given data :  In lab frame Speed of electron u =( 2/3 )c  Speed of positron v = (3/4) c  Where c is…

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A: Given: The speed of spaceship is v=0.90 c Let L0 be the proper length of spaceship. The apparent…

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Q: Suppose that there is a spaceship that leaves the solar system at a velocity of v = (3/5)c, headed…

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Q: Suppose that there is a spaceship that leaves the solar system at a velocity of v = (3/5)c, headed…

A: From spectial theory of relativity x' = x-vt1-v2c2but according to question t  = 0x' = x1-v2c2but x…

Q: An observer in frame S' is moving to the right 1+x-direction2 at speed u = 0.600c away from a…

A: From relativistic velocity addition, the speed (v) which the observer S measure is given by,

Q: Two frames of reference A and B are in standard configuration with the origin of frame B moving…

A: Given that For event 1 Position in frame A is   x1 = 10 × 108 m, y1 = 0 m, z1 = 0 m. For event 2…

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

A:

Q: A rocket is moving from the Moon to Mars (a distance of about 8.64×107 km) at 0.93c. What distance…

A: thank you

Q: Spaceship A moves past the earth at 0.85 c to the west. Spaceship B approaches A, moving to the…

A: Givenspeed of spaceship A = 0.85 c towards westspeed of spaceship B = 0.95 c towards east

Q: The space bus is 2.0 km long in its own frame and moves towards planet earth at a speed of 0.6c. Jim…

A:

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A:

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: A rocket moves with a velocity of 0.841c to the right with respect to a stationary observer A. An…

A: Using velocity addition theorem ux'=ux-v1-uxvc2ux'1-uxvc2=ux-vv1-uxux'c2=ux-ux'v=ux-ux'1-uxux'c2

Q: (a) An astronaut took a space travel at nearly constant speed. The astronaut in the spaceship…

A: Dear student,  Since both questions are different as per guidelines we can author only first one…

Q: An observer moving at a speed of 0.995c relative to a rod (see figure below) measures its length to…

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Q: A laser beam moving at velocity c relative to us is turned on just as three (hypothetical) observers…

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Q: An astronaut at rest has a heart rate of 65 beats/min. What will her heart rate be as measured by an…

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Q: A rocket moves with a velocity of 0.832c to the right with respect to a stationary observer A. An…

A: Given Velocity of rocket with respect to A v=+0.832c (taking right as +ve) Velocity of rocket with…

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.