A spaceship heads directly toward an asteroid at a relative speed of 0.75c. When it is 3.0 x 108 m from the asteroid, as measured in the asteroid’s frame, the rocket fires a laser pulse at the asteroid. According to the rocket captain, what is the time interval between when the pulse hits the asteroid and when the rocket passes the asteroid, barely missing it?

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: Two spaceships are at the sun, and they set their clocks to zero. They then travel in opposite…

A: Given, Speed of spaceships are 0.80c and 0.90c  distance from the sun is 5.0*109 m

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

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

A:

Q: An electron is moving in circular motion with uniform speed 0.95 c, where c is the speed of light in…

A: Velocity of electron= 0.95 c

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…

A:

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: 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: It has been proposed that spaceships of the future will be powered by ion propulsion engines in…

A: Given that, The velocity of ions relative to the engine vis=-0.80c The velocity of the ship relative…

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

A:

Q: Two neutron stars are separated by a distance of 1.0 x 101" m. They each have a mass of 1.0 x 1031…

A: in the  Given question two Newton's starts are separated by distance 1× 1011 m Mass of each Neutron…

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

A:

Q: An unstable particle at rest spontaneously breaks into two fragments of unequal mass. The mass of…

A: It is known that momentum of both the particle will be equal.

Q: An electron is moving circular motion with uniform speed 0.95 c, where c is the speed of light in…

A: Given   Radius= 1.2 km  Velocity= 0.95 c

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

A:

Q: An electron is moving in circular motion with uniform speed 0.95 c, where c is the speed of light in…

A: Given data: Uniform speed, v=0.95 c Speed of light, c=3×108 ms The radius of the circle, r=1.2…

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

A:

Q: Two neutron stars are separated by a distance of 1.0 x 1010 m. They each have a mass of 1.0 x 1030…

A:

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

A:

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: A base on Planet X fires a missile toward an oncoming space fighter. The missile’s speed according…

A: The expression for velocity of an object is, u'=u-v1-uvc2

Q: 4. 37.9 · A spacecraft of the Trade Federation flies past the planet Coruscant at a speed of 0.630c.…

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Q: Calculate the interval ∆s^2 between two events with coordinates (x1 = 50 m, y1 = 0, z1 = 0, t1 = 1…

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

Q: An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter…

A:

Q: An observer in reference

A: 2.29×10-4 s

Q: Two protons, each having a speed of 0.990c in the laboratory, are moving toward each other.…

A: Given data : Speed of protons is, v=v1=v2=0.990c

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: Starship "A" is traveling at 0.8c with respect to the identical starship "B". Each starship has rest…

A:

Q: An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter…

A: Write the expression for conservation of relativistic momentum

Q: Why is the following situation impossible? On their 40th birthday, twins Speedo and Goslo say…

A: Determine the total time taken by Speedo in traveling between the two planets (going and returning…

Q: Rocket A passes Earth at a speed of 0.79c. At the same time, rocket B passes Earth moving 0.94c…

A: Given :    velocity of rocket A, VA  = 0.79 c    velocity of rocket B , VB = 0.94 c

Q: A particle moving at speed 0.40c has momentum p0 . The speed of the particle is increased to 0.80c.…

A: Given: The speed of the particle is v=0.40c. The increased speed of particle is v’=0.80c.…

Q: An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter…

A:

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: Two identical particles P and Q of rest mass m,, are moving with velocities 5c 2c and 19 in…

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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 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…

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,