A man on the Earth is using a drill whose speed of rotation is 5 revolutions per second. A woman on a space ship is moving past the Earth at high speed. Looking at the man through a telescope, she sees the drill rotating at 3 revolutions per second. How fast is the space ship moving? Note: these are rates, not times. (Express answer as a fraction of c, like 0.500c)

Q: A space shuttle passes the Earth at a speed of 0.80c. If the space shuttle is 30 m in length as…

A: Given: The speed of the space shuttle is 0.8c. The length of the space shuttle is 30 m.

Q: A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by…

A: Proper length = L∘=100 m Speed = v = 0.9  Say length observed from earth is L The formula used will…

Q: A spacecraft is moving past Earth at a constant speed v which is 0.90c. The astronaut measures the…

A: The time interval ∆t that the observer on Earth measures between the ticks at the astronaut’s clock…

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: 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: 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: An object with a rest mass of 12420.5 MeV/c2 is moving with a β of 0.406. What is the relativistic…

A: An object with a rest mass of 12420.5 MeV/c2 is moving with a β of 0.406

Q: An apartment complex is 100 yards long as measured on earth. What length will an astronaut measures…

A:

Q: please help: As measured in Earth's frame of reference, two planets are 384000 km apart. A spaceship…

A:

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: A spaceship passes you at a speed of 0.90c. You find the length of the ship in your frame to be 50.0…

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

Q: As an example, consider a spaceship moving away from you at a velocity of 0.5c. Suppose that the…

A: Given: The speed (v) of the spaceship is 0.5c. Introduction: According to the relativistic velocity…

Q: A spaceship goes past a planet at a speed of 0.80c relative to the planet. An observer on the planet…

A:

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

A:

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

A:

Q: The neutron has a mass of 1.67 ✕ 10−27 kg. Consider a neutron moving with a speed of 0.910c. (Enter…

A: Given:- The proton has a mass m = 1.67 ✕ 10−27 kg a proton moving with a speed of 0.910c

Q: An astronaut in a rocket moving at 0.50c toward the sun finds himself halfway between the Earth and…

A:

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

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Q: Space cruisers A and B are moving parallel to the positive direction of an x axis. Cruiser A is…

A:

Q: At a speed of 0.90c, a spaceship travels to a star that is 9.0 ly distant.a. According to a…

A: Dear student, this question contains more than three sub-parts. As per guide lines we will answer…

Q: A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the…

A: Given- Length of spacecraft (Lo) = 1 km = 1000 m Speed of spacecraft (v) = 0.75 c

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 tuning fork has a frequency of 800 Hz and hence a period of 1.25 × 10 −3 s. If the tuning fork is…

A: The given values are, f=800 HzT=1.25×10-3 sv=0.690c

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

A:

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

A:

Q: A person on Earth observes two rocket ships moving directly toward each other and colliding as shown…

A: Relative velocity question, solution given in image

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: 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: what should the speed of β relative to turn be?

A: //

Q: The control panel on a spaceship contains a light that blinks every 2.76 s as observed by an…

A: Given data: Speed of the spaceship, v=0.693c

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

A: Speed of space racer (v)= 0.84 c distance travelled by space racer as observed by you (L) = 1.29×108…

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.