Suppose that there is a spaceship that leaves the solar system at a velocity of v = (3/5)c, headed for a planet that is 20 c • yrs away. Assume that the Sun and the planet are both at rest and that their clocks have been synchronized such that both read zero when the spaceship leaves. How far apart are the sun and the planet in the spaceships's frame of reference?
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: A spaceship travels at 0.79c, where c is the speed of light. The journey takes 2 years according to…
A:
Q: A starship passes Earth with speed of v1 and sends a drone forward with speed v2 relative to itself…
A: The speed of the drone relative to planet E vDE is calculated under relativistic case by using the…
Q: The control panel on a spaceship contains a light that blinks every 2.71 s as observed by an…
A:
Q: An observer in reference frame S claims that two events occur simultaneously. As this observer sees…
A: Given data- An observer in reference frame S claims two events occur simultaneously- Event A point…
Q: (a) What is the speed (in m/s) of spaceship B relative to spaceship A? (Enter your answer to at…
A: Einstien's velocity addition theorem The relative velocity of two objects never exceeds the velocity…
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: Two spaceships are traveling with a relative velocity of 2.36 x 10^8 m/s. Both carry identical…
A: Write the expression for the time dilation. t'=γtt'=(11−v2c2)t So, the factor will be: γ=11−v2c2
Q: Clock A travels to the right at a speed v = sq root of 7/9 C relative to clocks B and C. As A…
A:
Q: With respect to frame S, the velocity of reference frame S' is (0.50i)c and the velocity of object C…
A:
Q: A spaceship is traveling with constant velocity +0.4câ relative to Earth. At t = () a missile is…
A: Step 1: Data provided in the problem Speed of the spaceship: v1 = 0.4 c in positive x…
Q: Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. It moves by…
A: Given data:Speed of particle is, .Actual life of particle is, .
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: You are on a spacecraft traveling away from the earth at 0.75 c�. A beacon on earth flashes exactly…
A: Step 1: spacecraft would travel distance of 0.75c before receiving the next flash. Step 2: Light…
Q: Two rockets are each 1800 m long in their rest frame. Rocket Orion, traveling at 0.80c relative to…
A: Let S be the earth's frame and S' be the rocket Sirius's reference frame. S' moves relative to S…
Q: Suppose a particle called a kaon is created by cosmic radiation striking the atmosphere. It moves…
A:
Q: A spaceship approaching an asteroid at a speed of 0.62c launches a rocket forward with a speed of…
A:
Q: wnst to you, your secret celebrity crush's agent is onboard the celebrity's rocket and saw you…
A: Answer
Q: A spaceship which is 205 m long as seen by an astronaut on board, moves relative to the Earth at…
A: Given ---- Length of spaceship as seen by an astronaut on board = 205m we need to calculate----…
Q: The Stanford Linear Accelerator (SLAC) accelerates electrons to ν = 0.99999997c in a 3.2-km-long…
A: Given: The speed of electron is 0.99999997c. The length of tube is 3.2 km.
Q: A particle has a lifetime of 91 nanoseconds (as measured in its own moving reference frame. It…
A:
Q: The inertial reference frames, S and S', both share the same origin at t = t' = 0. The S' frame is…
A: Given,speed of S' frame v=0.7cFrom lorentz transformation,x=x'+vt'1-v2/c2y=y'z=z't=t'+vx'/c21-v2/c2
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: Two spaceships are moving away from Earth in opposite directions, one at 0.83*c, and one at 0.83*c…
A:
Q: Suppose that there is a spaceship that leaves the solar system at a velocity of v = (3/5)c, headed…
A: Einstein's special theory of relativity states that speed of light is a constant in all frame of…
Q: A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c •…
A: Einstein gave theory of relativity that is the special theory of relativity. It has one statement…
Q: An observer on planet 1 watches a spaceship travel at v = 0.95 c from planet 1 to planet 2. Take the…
A: Concept used: Time gets dilated for relativistic speeds in moving frame of reference. On the other…
Q: Spaceship A moves past the earth at 0.85 c to the west. Spaceship B approaches A, moving to the…
A: Givenspeed of spaceship A = 0.85 c towards westspeed of spaceship B = 0.95 c towards east
Suppose that there is a spaceship that leaves the solar system at a velocity of v = (3/5)c, headed for a planet that is 20 c • yrs away. Assume that the Sun and the planet are both at rest and that their clocks have been synchronized such that both read zero when the spaceship leaves.
How far apart are the sun and the planet in the spaceships's frame of reference?
Step by step
Solved in 2 steps
- Suppose that there is a spaceship that leaves the solar system at a velocity of v = (3/5)c, headed for a planet that is 20 c • yrs away. Assume that the Sun and the planet are both at rest and that their clocks have been synchronized such that both read zero when the spaceship leaves. When the tail of the spaceship reaches us, what should the clocks in the ship's tail and nose read?Two spaceships are traveling with a relative velocity of 2.38 x 10^8 m/s. Both carry identical clocks. According to the captain of each ship, the other captain s clock ticks more slowly than his own. By what factor do the two clocks disagree? Question 3 options: 2.79 3.12 1.64 1.97A particle has a lifetime, as measured in its own reference frame, of 2.86 µs. It propagates at a speed of 0.933c. How far does it go before disintegrating? Express your answer in meters and keep three significant digits.
- A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the spacecraft length you measure from Earth. Treat Earth as not moving compared to the spacecraft's motion of 0.75 c.Two spaceships are traveling with a relative velocity of 2.52 x 10^8 m/s. Both carry identical clocks. According to the captain of each ship, the other captain s clock ticks more slowly than his own. By what factor do the two clocks disagree?You travel in a 2,500,000 kg spacecraft from Earth to our closest neighbouring star, Proxima Centauri, which is 4.22 ly (light years) away. Your spacecraft travels at 0.9 c. How much time does this take from Earth's frame of reference? (Ans: 4.7 y) How much time does it take from your frame of reference? (Ans: 2.0 y) c) What distance do you travel from your frame of reference? (Ans: 1.74x1016 m) What distance does an observer from Earth see you traveling? (Ans: 3.99 x 101 m) What would the mass of your spacecraft appear to be relative to the Earthlings?
- A spacecraft has a speed of 0.4c relative to Earth. As measured on Earth, the elapsed time between two events that happen at the same location on Earth is 4 h. Determine what the elapsed time between those two events would be from the spacecraft's frame.An observer moving at a speed of 0.995c relative to a rod (see figure below) measures its length to be x = 2.20 m and sees its length to be oriented at 0 = 33.0° with respect to its direction of motion. x Ꮎ Motion of observer (a) What is the proper length of the rod? m (b) What is the orientation angle in a reference frame moving with the rod? OYou and your secret celebrity crush pass each other in rockets that are each traveling 0.56c relative to the other. Your secret celebrity crush takes a nap and you decide to time how long the nap takes. In your frame, the nap takes 1.7 h. How long was the nap in your secret celebrity crush's frame? Unbeknownst to you, your secret celebrity crush's agent is onboard the celebrity's rocket and saw you timing the nap. Concerned, the agent decides to time how long you were timing the nap. In the agent's frame, how long were you timing your secret celebrity crush's nap?
- An astronaut is traveling at a constant velocity of 0.8 times the speed of light (c = 3 x 10^8 m/s) away from a space station. If the astronaut's clock is ticking normally, but the space station observes their clock to be running slower due to time dilation, calculate the time interval experienced by the astronaut during a 1-hour period according to their own clock.The proper length of one spaceship is three times that of another. The two spaceships are traveling in the same direction and, while both are passing overhead, an Earth observer measures the two spaceships to have the same length. If the slower spaceship has a speed of 0.354c with respect to Earth, determine the speed of the faster spaceship. (Give your answer to at least 3 significant figures.) |cA certain type of elementary particle travels at a speed of 2.53 x 108 m/s relative to a lab. The average lifetime in the particle's rest frame is calculated to be 62.6 us. What will be the lifetime of the particle (in us) as measured by someone in the lab? (Use c = 2.9979 × 108 m/s)