Astronomers discover a planet orbiting around a star similar to our sun that is 20 lightyears away. How fast must a rocket ship go if the round trip is to take no longer than 40 years in time for the astronauts aboard?

Q: lighthouse sweeps its beam of light around in a circle once every 7.6 s. To an observer in a…

A: Given, Time interval, ∆t=7.6s ∆t'=16s

Q: Travel to the stars requires hundreds or thousands of years, even at the speed of light. Some people…

A: Part E- If the rocket ship’s speed is 0.990c, the time measured by the people on the earth is given…

Q: The special theory of relativity has what effect on measurements done today? (a) None whatsoever,…

A: Given: The effect of measurements on the special theory of relativity.

Q: The starship Enterprise is passing the planet Vondor when it is discovered that a Klingon spy has…

A: Speed of ship = 0.99 cTime after which bomb explode = 1 day in ship's frame Distance between Vondor…

Q: A muon has an average life time t_0 = 2.2μs from Earth's frame of referance. Needed distance for…

A: given that,t0=2.2 micro sdistance, d=6 kmspeed, v=2.978×108 ms-1

Q: A navigational beacon in deep space broadcasts at a radio frequency of 44 MHz. A spaceship…

A:

Q: A spaceship travels at a constant speed from Earth to a planet orbiting another star. When the…

A: Step 1:

Q: Assuming a constant velocity of v=0.87c, how long would the trip to Alpha Centauri take as observed…

A:

Q: Rigel, which is in the constellation of Orion, is 770 ly away. You plan a sight-seeing vacation for…

A: Given  d = 770 ly Light year (ly) is definined as distance travelled by light in a year . Speed of…

Q: The Andromeda Galaxy has a mass of around 4 x 10* 42 kg and is 2.4 x 10*22 m away. What is your…

A: Given data: Mass of galaxy (M) = 4×1042 kg Distance from centre of mass (r) = 2.4×1022 m

Q: If astronauts could travel at v = 0.902c, we on Earth would say it takes  (4.20/0.902) = 4.66 years…

A: Here we will apply Time dilation formulae

Q: During an experiment, a signal from a spaceship reached the ground station in five minutes. What was…

A: Given that the signal travels in a straight line, the distance between the spaceship and the ground…

Q: spacecraft is moving relative to the Earth and an observer on Earth finds that between exactly…

A: solution

Q: In 2030, the Australian Space Agency launches a spaceship to our nearest neighbour Alpha Centauri (4…

A: Given: Distance between Australian space agency and Alph Centauri, d=4 ly Speed of spaces according…

Q: A proton travels at 99.9936% of the speed of light. An antiproton travels in the opposite direction…

A: Given data: The speed of proton is vp=99.9936%c. The speed of antiproton is vap=99.9936%c.

Q: There is a galactic, royal wedding in El Candrea. Maria Isabela, the princess of andalusia prima…

A: Given,Maximum or final speed ,vf = 5×102 km/s = 5×105 m/sInitial speed , vi = 5×101 km/s = 5×104…

Q: A  signal generator in  space broadcasts at a radio frequency of 50.5 MHz. Jason is in a spaceship…

A: The frequency that Jason detects : fo = 20,596,727 MHzExplanation:Approach to solving the…

Q: A spaceship travels at a constant speed from earth to a planet orbiting another star. When the…

A: ACCORDING TO QUETION - Time taken by the spaceship to reach the planet as measured by an observer on…

Q: Astronomers view light coming from distant galaxies moving away from Earth at speeds greater than…

A: Ever since the Big Bang the universe started expanding at a rapid rate. Everything in the universe…

Q: An alien spaceship has a mass ofm= 3.2×109kg, and according to the crew, onboard the bow-to-stern…

A: mass of spaceship (m) = 3.2×109 kg Length measured onboard (Lo) = 680 m Length measured by…

Q: Suppose we want to send an astronaut on a round trip to visit a star that is 200 light-years distant…

A: As per the theory of special relativity time measured in a moving frame will be slower than the time…

Q: If astronauts could travel at v = 0.932c, we on Earth would say it takes (4.20/0.932) = 4.51 years…

A:

Q: distance of the spaceship from the ground station?

A: Given,  During an experiement,  Signal from a spaceship reached the ground station,  t =5…

Q: A 36,000-kg spaceship is to travel to the vicinity of a star6.6 light-years from Earth. Passengers…

A: Given, Mass, m=36000 kg, and distance, l0=6.6 light years.

Q: The spaceship Lilac, based on the Purple Planet, is 741 m long when measured at rest. When the Lilac…

A: Givenoringinal length (L0) = 741 mcontracted length (L) = 681 m

Q: A ship moves at a constant speed between Earth and Alpha Centauri, 4.2 light years away. According…

A:

Q: Assuming a constant velocity of v=0.75c, how long would the trip to Alpha Centauri take as observed…

A: Given, v=0.75cd=4.3ly

Q: A Space Shuttle which is 60 meters in length flies past you at 1.2 x 104 m/s. How much shorter is it…

A:

Q: A spaceship travels at a constant speed from earth to a planet orbiting another star. When the…

A:

Q: Pretend you are on a spaceship that is traveling at 90% the speed of light. If you are going to…

A: Earth is reference frame and the spaceship is the primed reference frame moving a speed of 0.90c.…

Q: Martians ships will take 400 years to each earth, but they sent a scout that is to fly by our moon…

A: It is known that if a body is moving in a constant velocity 'V' for a certain time 't' , then the…

Q: our friend and you fly in identically constructed spacecrafts. She overtakes you at a constant…

A: Concept used: At relativistic speeds, length gets contracted. Time gets dilated.

Q: The spaceship Lilac, based on the Purple Planet, is 711 m long when measured at rest. When the Lilac…

A: Length of the spaceship Lilac at rest,  Lo=711 m When Lilac passes Earth, observers there measure…

Q: Team A's spaceship immediately blasts off at (t, x) = (0, 0) and travels at a constant speed until…

A: Required :  Which team wins.

Q: The Millennium Falcon is approximately 35.2 m long. There are conflicting reports, but the Falcon…

A: Length of Falcon = 35.2 m The Falcon made the kessel run in approximately 12.27 parsecs  Velocity of…

Q: Astronomers discover a planet orbiting around a star similar to our sun that is 20 lightyears away.…

A:

Q: The star Epsilon Eridani is 10.4 light-years from Earth. Imagine a spaceship that travels from Earth…

A: distance of star from earth (L) = 10.4 ly Speed of spaceship (v) = 0.921 c Time taken by spaceship…

Q: Michale is decided to buy a ticket to go to space. After meticulously planning his journey, he…

A: World Line of the trip.