1. Some jets emitted by galaxies, for astronomical distances large enough, can appear to travel faster than the speed of light c, through our line of sight. Suppose that a distant galaxy, AB15, is moving with speed v at an angle e with respect to the earth and it emits two light rays separated by a time At in its local time. show that a) The time interval on earth in which the two light rays are emitted is given by Atr = At(1 – Bcos 0) %3D
Q: 1. Two cars are traveling at constant speed along a road in the same direction. Car A moves at 60…
A: Step 1: To find the speed of Car A relative to Car B, we need to determine how fast Car A is moving…
Q: An armada of spaceships (at rest in frame A), of proper length Lo =1.10ly (ly is a unit of distance…
A: The question contains 5 sub-parts. As per our policy, we will answer the first 3. Kindly resubmit…
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: 3. The Federation space cruiser Execrable is floating in Federation territory at rest relative to…
A: a)The worldline diagram for the given problem is given below ,
Q: Imagine two civilizations from different planets that have started an intergalactic war. During a…
A: Solution: Let v be the velocity of the starship 1 with respect to the starship 2. The missile leaves…
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: Imagine two civilizations from different planets that have started an intergalactic war. During a…
A: Relative Velocity is a term that refers to the speed at which something is moving This is the speed…
Q: A spaceship has a proper length of 48.41m. It is currently passing by the Earth moving at 55.8% of…
A:
Q: The Milky Way has a diameter (proper length) of about 1.2 x 105 light-years. As far as an astronaut…
A:
Q: 10. Sirius is about 9.00 ly from Earth. To reach the star by spaceship in 15.0 y (ship time), how…
A:
Q: An electron is accelerated through some potential difference to a final kinetic energy of 2.55 MeV.…
A:
Q: The factor y (gamma) appears throughout the expressions of special relativity. It depends only on…
A:
Q: (a) How much time passes on the astronauts' clocks? | years (b) What is the distance to Alpha…
A: Refer attachment (a) = 1.791 (b) = 1.646
Q: The Small Magellanic Cloud is a dwarf galary orbiting the Milky Way at a distance of 50 kiloparsecs…
A: Given: The observed velocity of the Small Magellanic cloud relative to the Milky way is v = 207 km/s…
Q: A star is 80 light years from Earth. How fast does a spacecraft have to be for the journey to last…
A: The objective of the question is to find out the speed of a spacecraft that would allow an astronaut…
Q: A cosmic ray travels 60.0 km through the earth's atmosphere in 400 μs, as measured by experimenters…
A: Given data :Distance traveled by the cosmic ray,d = 60 km = 60000 mTime taken for the journey…
Q: b). i). What is meant by Time dilation? ii). Hence, a clock on a space rocket ticks off at a time…
A:
Q: I don't understand how to do this question.
A:
Q: 2. Consider a space shuttle traveling at 8 x 10 m/s above the earth. How much time per day is an…
A: Answer:
Q: What is meant by length contraction? ii). Hence, what is the length of a meterstick measured by an…
A:
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: You are standing at x = 9.0 km. Lightning bolt 1 strikes at x = 0 km and lightning bolt 2 strikes at…
A: Given data: Your position, x=9.0 km=9×103m Bolt-1 strikes at x=0 km=0 m Bolt-2 strikes at x=12.0…
Q: II. You have been hired as a space weather forecaster. At 11:30:00 UT on your first day, November…
A: Distance from earth to sun = 149.6 million km = 149.6 x 106 km
Q: In 2100, a space ship is sent from Earth to Epsilon Eridini, 10.5 light years away, travelling at a…
A: On the space ship, the time spent when the space ship reaches its destination will be T = To ×…
Q: Galaxy A is moving away from us with a speed of 0.75c relative to the earth. Galaxy B is mobbing…
A: Speed of galaxy A with respect to earth is vA = 0.75c Speed of galaxy B with respect to earth is vB…
Q: A pirate starship in the distant future is being chased by the space police. The pirates are…
A:
Q: 13. Sirius is the brightest star in the sky. It is 9 light years away. If you were to travel there…
A: The distance between the earth and the Sirius is 9 light-years. We know that 1Ly=9.461×1015m The…
Q: The distance from earth to the center of our galaxy is about 33,000 ly (1 ly = 1 light year = 9.47 x…
A: 1 ly = 9.47 x 1015 m 1 yr = 3.16 x 107 s L0 = distance between earth and center of galaxy = 33,000…
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: The nearest star to Earth is Proxima Centauri, 4.2 light-years away. ▾ Part A At what constant…
A:
Q: The star Proxima Centauri is 4.24 light-years from Earth. Imagine a spaceship that travels from…
A:
Q: 10. Sirius is about 9.00 ly from Earth. To reach the star by spaceship in 15.0 y (ship time), how…
A: Distance from Sirius to the Earth is The required time or proper time is Find:The speed of…
Step by step
Solved in 3 steps
- 3. A friend passes by you in a spacecraft traveling at a high speed. He tells you that his craft is 20.0 m long and that the identically constructed craft you are sitting in is 19.0 m long. According to your observations, (a) how long is your spacecraft, (b) how long is your friend's craft, and (c) what is the speed of your friend's craft?1. You want to travel into the future . If your space ship can go at a speed of 2.00 x 108 m / s , how long would you have to be gone to return to an Earth five years into the future ? 2. At your speed in the previous question , by what factors would an observer on Earth see your length and mass to have changed ? How would you see the Earth's mass and length ? Why ?The distance from earth to the center of our galaxy is about 27,000 ly (1 ly = 1 light year = 9.47 × 10¹5 m), as measured by an earth-based observer. A spaceship is to make this journey at a speed of 0.9990c. According to a clock on board the spaceship, how long will it take to make the trip? Express your answer in years. (1 yr is equal to 3.16 × 107 s.) Number i Units
- v2 The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as L' = L 1 where L is the length of the same interval on a ruler at rest with respect to the observer. By what fraction is the length of a meter stick reduced if its velocity relative to you is measured to be 67 percent of the speed of light? L- L'Setup: A futuristic trip from Earth to Alpha Centauri is taking place. The travellers start on Earth, from position (t, x) = (0, 0). They must travel from Earth (considered stationary) to Alpha Centauri, a distance of L = 4.37 light years away, such that they arrive at Alpha Centauri at Earth time of T = 10 years. a) Team A travels with a constant acceleration so that their worldline can be parametrized by the proper time Tau as t(Tau) = a-1sinh(a*Tau) x(Tau) = a-1(cosh(a*Tau) - 1) for a constant 'a.' They blast off at (t, x) = (0, 0) and travel with this constant acceleration until they reach Alpha Centauri at Earth time of 10 years. What proper time does Team A measure (in years)?2. A ladder 6.00 m long leans against a wall inside a spaceship. From the point of view of a person on the ship, the base of the ladder is 2.10 m from the wall, and the top of the ladder is 5.62 m above the floor. The spaceship moves past the Earth with a speed of 0.86c in a direction parallel to the floor of the ship. Find the angle the ladder makes with the floor, as seen by an observer on Earth. 239119 16 oci
- The Millennium Falcon is approximately 35.8 m long. There are conflicting reports, but the Falcon made the Kessel Run in approximately 12.86 parsecs. This is an odd unit to measure speed with as a parsec is a unit of length equal to 3.26 light-year. The science FICTION comes in when you consider that ships in Star Wars use hyperdrive to travel faster than the speed of light, so they are able to make jumps through space. Han Solo picked difficult or dangerous points to jump between to make the trip so short. Let's imagine that the Millennium Falcon travels at 0.97c during the 12.86 parsec Kessel Run. What distance, in light-year, does an observer at the finish line measure for the trip? Don't forget to convert parsec to light-year. light-year What distance, in light-year, does Han Solo measure for the trip as he pilots the ship? light-year Which person measures the proper distance of the trip? Which person would measure the proper length of the Millennium Falcon? ✪8.) A star is 53 Light years away, as measured by an observer on Earth. (The star is not moving relative to Earth.) You are on a rocket ship traveling from Earth to the star at a relativistic speed. To you, the distance from Earth to t he star looks: a) longer than 53 Light years, b) shorter than 53 Light years, c) exactly 53 Light years.Setup: A futuristic race from Earth to Alpha Centauri is taking place. But the winner of the race isn't who gets there first, it's who measures the smallest proper time along the way. The competitors start on Earth, from position (t, x) = (0, 0). They must travel from Earth (considered stationary) to Alpha Centauri, a distance of L = 4.37 light years away, such that they arrive at Alpha Centauri at Earth time of T = 10 years. Upon arrival, they compare their personal times (the proper time they measure along their whole trip) and the team with the smallest proper time wins. Question: a) Team A's spaceship immediately blasts off at (t, x) = (0, 0) and travels at a constant speed until they reach Alpha Centauri at Earth time of 10 years. Team B, on the other hand, have a much faster ship— they can travel so fast, you may consider their maximum speed to be the speed of light. Team B stays stationary on Earth for as long as they can; then, they blast off and travel at constant maximum…
- If you were traveling away from a planet at 99% the speed of light, and turned on a flash light pointing behind you (toward the planet), a person on the planet's surface would see the light moving toward them at 1% the speed of light. O True O False bpThe Millennium Falcon is approximately 35.2 m long. There are conflicting reports, but the Falcon made the Kessel Run in approximately 12.27 parsecs. This is an odd unit to measure speed with as a parsec is a unit of length equal to 3.26 light-year. The science FICTION comes in when you consider that ships in Star Wars use hyperdrive to travel faster than the speed of light, so they are able to make jumps through space. Han Solo picked difficult or dangerous points to jump between to make the trip so short. Let's imagine that the Millennium Falcon travels at 0.96c during the 12.27 parsec Kessel Run. What distance, in light-year, does an observer at the finish line measure for the trip? Don't forget to convert parsec to light-year. X light-year What distance, in light-year, does Han Solo measure for the trip as he pilots the ship? light-year Which person measures the proper distance of the trip? Which person would measure the proper length of the Millennium Falcon?A rocket ship traveling near the speed of light appears to a stationary observer to shorten with speed. A rocket with a length of 200 meters will appear to a stationary observer to have a length of 200 Sqrt[1-r^2]meters, where r is the ratio of the velocity of the ship to the speed of light. What is the apparent length of the rocket ship if it is traveling at a speed that is 99% off the speed of light?