A base on Planet X fires a missile toward an oncoming space fighter. The missile’s speed according to the base is 0.85c. The space fighter measures the missile’s speed as 0.96c. How fast is the space fighter traveling relative to Planet X?

Q: An astronaut at rest on Earth has a heartbeat rate of 90 beats/min. When the astronaut is traveling…

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Q: A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of…

A: Given: The velocity v1 = 0.6c, The velocity v2 = 0.7c, Angle of velocity v1 with x axis = 50.0

Q: A Rocket passes by earth at a speed of 0.300c. If a person on the rocket takes 245 seconds to drink…

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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: What is the momentum of an electron traveling at a speed 0.985c? The rest mass of the electron is…

A: The relativistic constant is, γ=11-v2c2 The relativistic momentum of an electron is, p=γmv=mv1-v2c2

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 object moving with velocity u's=0.6c in a frame that is itself moving at v =0.8c. The velocity of…

A: Use the inverse velocity transformation equation.

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

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Q: A space beacon on Planet Karma emits a pulse of light every second. Spaceman Trevor flies directly…

A: Given data: Speed of Trevor, v=0.95c

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 spaceship is moving away from Earth at 0.892c when it fires a small rocket in the forward…

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Q: A rod measures 1.00 m in its rest frame. How fast must an observer move parallel to the rod to…

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

A: Solution: Given: θ1 = angle of ramp constructed on space station = 30.0o     v = speed of rocket…

Q: If a spaceship is approaching the Earth at 0.100c and a message capsule is sent toward it at 0.100c…

A: Speed of the capsule relative to the ship using velocity addition theorem.

Q: An object moving with velocity u's = 0.6c in a frame that is itself moving at v =0.8c. The velocity…

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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: What is the momentum of an electron traveling at a speed 0.985c ? The rest mass of the electron is…

A: Given:  mass of electron,m = 9.1 x 10-31 kg  velocity,  u =  0.985 c

Q: If a spaceship is approaching the earth at 0.17c and a message capsule is sent toward it (the…

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Q: How far from the earth would you be able to travel in a lifetime of 82 years if you were able to…

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Q: How far from the earth would you be able to travel in a lifetime of 74 years if you were able to…

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Q: A proton has momentum with magnitude p0 when its speed is 0.400c. In terms of p0 , what is the…

A: Momentum is po when the speed is 0.4 c

Q: How far from the earth would you be able to travel in a lifetime of 75 years if you were able to…

A: Given:lifetime, ∆t0 = 75 yrsspeed, v = 0.62 c

Q: A spaceship is moving away from Earth at 0.812c when it fires a small rocket in the forward…

A: Given data: Speed of space ship with respect to earth, vSE=0.812c Speed of rocket with respect to…

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: When a missile is shot from one spaceship towards another, it leaves the first at 0.950c and…

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Q: A particle is moving at a speed of 0.925c and travels from one end of a 50 m long Physics lab to the…

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Q: A 25 m long beam is shot past a stationary space station at 0.99c. What length does the people on…

A: From Length's contraction:           L= L01-v2c2          L= 251-0.992c2          L= 25×0.141= 3.5 m

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

A: Length does not contract in the direction perpendicular to the velocity, since there is no relative…

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: Spaceships A and B move in opposite directions at the same speed of 0.378c relative to earth, with A…

A: Given data- Spaceship A and B move in opposite directions at the same speed-…

Q: How far from the earth would you be able to travel in a lifetime of 88 years if you were able to…

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Q: David is 30 years old, and his sister Alexis is 25 years old, when David leaves to travel to planet…

A: The  time dilation is the difference in the elapsed time as measured by two clocks.

Q: How far from the earth would you be able to travel in a lifetime of 81 years if you were able to…

A: Given, Life-time measured in the earth's frame t0 = 81 years. speed (v) =0.82 c where "c" = speed of…

Q: Sam flies past earth at 0.75c. As he goes by, he fires a bullet forward at 0.75c. Suzy, on the…

A: To determine,the bullet’s speed(u).given,Speed of sam(v)=0.75cspeed of bullet(u')=0.75c

Q: A space cowboy wants to eject from his spacecraft 100,000 km after passing a space buoy, as seen by…

A: Given: The distance covered is 100000 km. The speed is 0.300 c.

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: What is the speed of an electron having the same kinetic energy with a proton with speed 0.006 c?

A:

Q: An astronaut inside a spacecraft moving at 0.89c measure the length of the ship as being 100 m. How…

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Q: A spaceship carrying a light clock moves at a speed of 0.6c relative to an observer on Earth. If the…

A: Given data The speed of the spaceship is given as v = 0.6c. The time advances by the ship on the…

Q: A high-energy proton leaves the sun at 0.430c. In the frame of the proton, what is the distance to…

A: Given:- A high-energy proton leaves the sun at 0.430c Find:- In the frame of the proton,…

Q: A projectile was launched from a certain location on earth and landed a certain distance away. An…

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Q: A 20-year-old woman takes a trip on a rocket, leaving her 20-year-old twin brother behind. She…

A: It is given that,

Q: A particle of mass m0 travels at a speed 0.28c       At what speed will its momentum be doubled

A: