A jet airplane travelling at the speed of 500 km h-1 ejects its products of combustion at the speed of 1500 km h-1 relative to the jet plane. What is the speed of the latter with respect to an observer on the ground ?

Q: Fiona arranges to trigger two flashbulbs simultaneously, producing a big flash located at the origin…

A: Given: Small flash is at, x = 30 km Speed of observer = 0.25c Let, the system is moving is S and the…

Q: Rocket A travels to the right and rocket B travels to the left, with 0.5c and 0.7c respectively,…

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Q: Spaceships of the future may be powered by ion-propulsion engines in which ions are ejected from the…

A: Spaceships of the future may be powered by ion-propulsion engines in which ions are ejected from the…

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: 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 aircraft, 100 m long , moves by the Earth at 0.910c. (a) What is its length as measured by an…

A: a. write the expression for length contraction

Q: Particle A has half the mass and twice the speed of particle B. Is pa less than, greater than or…

A: The magnitude of the momentum(p) of a particle can be given as, p = mv, where m is the mass of the…

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: A neutral -meson is a particle that can be created by accelerator beams. If one such particle lives…

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

A: Given: Actually distance between the fireworks, Lo = 300m Relative speed of the observer in the…

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

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Q: The proper length of one spaceship is three times that of another. The two spaceships are traveling…

A: Consider The proper length of slower spaceship is "L" The proper length of faster spaceship "3L"The…

Q: As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past…

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Q: An observer on the earth sees a spaceship approaching at 0.52c. The ship then launches an…

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Q: A rocket moves with a velocity of 0.92c to the right with respect to a stationary observer A. An…

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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: Suppose an astronaut is moving relative to the Earth at a significant fraction of the speed of…

A: The astronaut is moving relative to the earth. So, the earth is also moving relative to the…

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

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Q: A particle has a kinetic energy 20 tumes its rest energy Find the speed of the particle in terms of…

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

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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: A particle with mass m has speed c/2 relative to inertial frame S. The particle collides with an…

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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: The length of a moving spaceship is 27.4 m according to an astronaut on the spaceship. If the…

A: The expression for the speed from length contraction,

Q: What is the speed (as a multiple of c) of a particle whose kinetic energy is equal to one-half its…

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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: 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: Two spaceships leave Earth in opposite directions, eachwith a speed of 0.60c with respect to Earth.…

A: Given: The speed of each spaceship is 0.60c.

Q: An observer in reference

A: 2.29×10-4 s

Q: Observer O finds that two events are separated in space by a distance of 200 m and in time 4 x 106…

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

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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: Consider a space shuttle traveling at 8 × 103 m/s above the earth. How much time per day is an…

A: Given: velocity 'v' of the space shuttle = 8 x 103 m/s

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: To whom does the elapsed time for a process seem to be longer, an observer moving relative to the…

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Q: John arranges to trigger two flashbulbs simultaneously, producing a big flash located at the origin…

A: Given that---- x = 30 km v = .25 m Question ❓ i). Determine the time interval between them according…

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

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Q: In relativistic motion, a body quadruples its momenta, after its speed is doubled to the initial…

A: Suppose that, initial speed is vi and final speed is vf. Given that, vf=2vi

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: A rocket moves with a velocity of 0.92c to the right with respect to a stationary observer A. An…

A: Given:Velocity of rocket with respect to frame A (u) = 0.92c m/sVelocity of rocket with respect to…

Q: If the kinetic energy of a particle is equal to its rest energy then what must be its speed?

A: Given ,        the kinetic energy of a particle equals to its rest energy                speed (v)…

Q: A rocket flies past the earth at precisely 0.9c. As it goes by, the rocket fires a bullet in the…

A: Given, Speed of rocket, vs=0.9c, and speed of bullet, vb=0.95c.