As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past you in her spaceracer at a constant speed of 0.830c, relative to you. At the instant the space-racer passes you, both of you timers at zero. At the instant when you measure that the spaceracer has traveled 1.13 x 10°m past you, what de the race pilot read on her timer?

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: 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 control panel on a spaceship contains a light that blinks every 2.71 s as observed by an…

A:

Q: A rocket cruising past earth at 0.800c shoots a bullet out the back door, opposite the rocket’s…

A: The velocity of the rocket, v=0.8 c   The velocity of the bullet, u=-0.9 c

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: As measured in Earth’s frame of reference, the Earth and the Moon are 384,000 km apart. A spaceship…

A: Write the formula for the speed of the spaceship.

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: 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: As I speed by in my very fast train (v = 0.757c), I jump up. In my frame, it takes me 0.71s to go up…

A: Write the formula for time dilation.

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

A:

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

A:

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

A:

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

A: Given data: The velocity of spaceracer is u=0.84 c. The distance passed by spaceracer is d=1.29×108…

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

A: Relative Speed of the race pilot is v = 0.830c  d = 1.13×10⁸ m

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

A:

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

A: Reading on the pilot's timer is, ∆t0=∆t1-v2c2

Q: An observer in reference frame S claims that two events occur simultaneously. As this observer sees…

A:

Q: An astronaut traveling at a speed of 0.75c requires 25 years, as measured on Earth, to make a round…

A: given: velocity v=0.75 c with respect to Earth T =25 yrs

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

A:

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: Suppose a cosmic ray colliding with a nucleus in the Earth’s upper atmosphere produces a muon that…

A: Speed of light, c = 3×108 m/sVelocity of muon, v = 0.95cTime period, ∆t0 = 1.52×10-6 s β = vcβ =…

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

A:

Q: An observer in reference

A: 2.29×10-4 s

Q: If two spaceships are heading directly towards each other at 0.800c , at what speed must a canister…

A: Given information: Here v is the speed of each spaceship S1 and S2, and ux’ is the speed of the…

Q: A very fast-moving train car passes you, moving to the right at 0.50c. You measure its length to be…

A: Given data: Speed of train, u=0.50c length measured by you, l=12 m speed of David, v=0.80c let the…

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 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: Your spaceship, traveling at 0.90c, needs to launch aprobe out the forward hatch so that its speed…

A: Given data: Speed of spaceship is, v=0.90c. Speed of probe relative to planet is, u=0.95c.

Q: A computer in a laboratory requires  5.60 μs  to make a certain calculation, as measured by a…

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: e t = 0 in the Earth frame, the Earth observer determines that rocket A, travelling to the right at…

A: We draw a figure according to the given data in the question  here l= 4.2 x 108 m   [ Given ]

Q: An astronaut at rest has a heart rate of 66 beats/min. What will her heart rate be as measured by an…

A:

Q: A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This…

A: length of spaceship = 100 m D = 50 light years v =0.9 c

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: 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: 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.