A spacecraft with the shape of a sphere of diameter D moves past an observer on Earth with a speed of 0.5c. What shape does the observer measure for the spacecraft as it moves past?

Q: What must be the speed of an electron for its relativistic kinetic energy to be equal to its rest…

A: The relativistic kinetic energy (KE) of the electron is equal to the rest energy (E).

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

A:

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: Sam leaves Venus in a spaceship headed to Mars and passes Sally, who is on Earth, with a relative…

A: a) As the departure of Sam and Sally from Venus and the arrival at Mars id happening at the same…

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

A:

Q: What is the speed of an electron having the same momentum with a proton having speed 0.005c? (Just…

A: Given data: Speed of proton is, v=0.005c.

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

A: The answer is below

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: An astronaut at rest on Earth has a heart rate of 70. beats/min. When the astronaut is traveling in…

A: The formula to calculate the heart beat rate is,

Q: Electromagnetic radiation from a star is observed with an earth-based The star is moving away from…

A: The Doppler effect is the change in the observed frequency of an electromagnetic wave due to…

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

A:

Q: A supertrain of proper length 94 m travels at a speed of 0.93c as it passes through a tunnel having…

A: The Lorentz transformation is the contraction of length l of any object with respect to the moving…

Q: A spaceship, 190 m long as seen on board, moves by the earth at 0.930c. What is its length (in m) as…

A:

Q: The control panel on a spaceship contains a light that blinks every 2.00 s as observed by an…

A: Given,The speed of spaceship with respect to earth, v = 0.750c

Q: An astronaut travels away from the Earth at a speed of 0.95c and sends a light signal back to the…

A: In the given question, Speed of the astronaut = 0.95c It travels away from earth. The astronaut…

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

A:

Q: A spacecraft is measured to be 250.00 m long while it is at rest with respect to earth-based…

A: GivenLength of spaceship at rest with respect to observer, Lo=250 mSpeed of spaceship, v=0.8 c

Q: A car has length 4.40 m when it is at rest relative to you. If it moves past you at a speed of…

A: Given data:  Length of car at rest (L0) = 4.40 m Speed of car (v) = 0.88c Required: Measured length

Q: Starship "Alpha" travels at 0.9c past an identical starship "Beta," which is at rest. Both a cabin…

A: We have a starship alpha which travels a given distance with velocity v=0.9c where c is the speed of…

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 supertrain of proper length 1.00 X 102 m travels at a speed of 0.95c as it passes through a tunnel…

A: Formula to calculate the contacted length of the train measured by the track side observer is,

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

A:

Q: A small meteor, moving through the Solar at a speed of 0.70 c relative to the Earth, has a mass of…

A: Given data:  Speed (V) = 0.70 c Mass (m) = 10.2 kg c = 3×108 m/s

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

A:

Q: If an object at rest in a given frame has no potential energy, then it has a)a rest energy of mc2…

A: Potential energy is the energy of an object due to its position with respect to other objects,…

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: An astronaut exercising on a treadmill maintains a pulse rate of 150 per minute. If he exercises for…

A:

Q: A particle moves along the x' axis of frame S' with velocity 0.40c. Frame moves with velocity 0.60c…

A:

Q: An observer in reference

A: 2.29×10-4 s

Q: A cube of steel has a volume of 1.00 cm3 and mass 8.00 g when at rest on the Earth. If this cube is…

A: It is given that,

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

A:

Q: A rocket launched outward from Earth has a speed of 0.38c relative to the Earth. The rocket is…

A: The speed of the meteor as observed from earth is     0.435967c  m/s.

Q: A spacecraft is measured to be 250.00 m long while it is at rest with respect to an earth-based…

A:

Q: A ground observer made a measurement on a wooden box and the length was found to be 2.3 m. At what…

A:

Q: A spaceship whose rest length is 378 m has a speed of 0.91c with respect to a certain reference…

A:

Q: Two rockets, A and B, approach the earth from opposite directions at speed 0.800c. The length of…

A: Given data The length of the frame at rest is, Lo=100 m The speed of two approaching rockets A and B…

Q: What is the speed of an electron having the same momentum with a proton having speed 0.003c?

A: The solution is given below

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: A muon formed high in the Earth's atmosphere travels at a speed 0.870 c for a distance of 4.00 km…

A:

Q: A spaceship, 180 m long as seen on board, moved by the earth at 0.980c. What is it's length in m as…

A: Given data: Original Length (L0) = 180 m Speed (v) = 0.980 c Required: The length of spaceship…

Q: A spaceship travels at 0.750c relative to Earth. If the spaceship fires a small rocket in the…

A:

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

A:

Q: A Foron cruiser moving directly toward a Reptulian scout ship fires a decoy toward the scout ship.…

A:

Q: An observer moving at a speed of 0.995c relative to a rod (Fig. P26.49) measures its length to be…

A: Consider the observer to be moving in the x-direction. The x-component of the length is contracted…

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

A:

Q: A spaceship, 200 m long as seen on board, moves by the Earth at 0.970c . What is its length as…

A: The given values are,

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.