The star Alpha Centauri is about 4 light-years away from us. Suppose that in our mutual reference frame an Earth comedian named Rebo tells a joke and a week later an alien at Alpha Centauri laughs. (a) How fast would a rocket have to be moving in order for its reference frame to conclude that the laugh happened at the same time as the joke? (b) Is it possible that the joke caused the alien to laugh? How do you know?
Q: Which one of the following statements concerning the proper length of a meter stick is true?…
A: Let's explain each option concerning the proper length of a meter stick:The proper length is always…
Q: In the context of relativity, what is an "event"? Give a specific example of an event and provide…
A: In the terms of relativity, event is the instantaneous physical situation or occurrence associated…
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 kinetic energy of the ejecta from a supernova explosion is about 10^44 joules. Use the formula…
A: We are given the kinetic energy of a mass which is ejected from supernova explosion. We are also…
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: A spaceship travels to a distant star at relativistic speed. As measured by observers on Earth, the…
A: The velocity of spaceship is, v=dt=1.5 ly9.461×1015 m1 ly1.8 yr3.154×107 s1 yr=14.1915×1015…
Q: Assuming a constant velocity of v=0.87c, how long would the trip to Alpha Centauri take as observed…
A:
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: 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: A moving spaceship measures 20m long, but according to an observer at rest looking at it, it seems…
A: Given value--- moving spaceship measures 20m long. an observer at rest looking at it, it seems to…
Q: In their common rest frame, two stars are 92.0 light-years (ly) apart. If they are 36.0 apart as…
A:
Q: A spaceship leaving from the Earth and traveling to Barnard's Star, 5.9 light-years away (according…
A: Time dilation:According to special relativity, as an object moves closer to the speed of light, time…
Q: In an Earth reference frame, a star is 44 light-years away. At what per cent of the speed of light…
A:
Q: A spacecraft flies past Earth at a speed approaching the speed of light. On the Earth, someone sees…
A: According to Einstein's theory of special relativity, when an observer and a moving object are in…
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: One day, an astronomer is looking through a telescope and observes three spaceships having an…
A: Given that:Speed of century Hawk, u= 0.92cSpeed of O-wing, v= 0.5cSpeed of Borg Box,w=0.6 cSpeed of…
Q: A spaceship is moving between two distant stars at 0.802c. To someone in the ship, the distance…
A:
Q: I need help on question 8?
A: Question no 8
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 proton travels at 99.9912% of the speed of light. An antiproton travels in the opposite direction…
A: concept:
Q: A space shuttle orbits earth at 5 miles/second. A clock moving past us at that speed will lose time…
A: The time dilation formula is given by: T0 = T / √(1 - (v^2/c^2)) where T0 is the time on the moving…
Q: e Lorentz contraction formula in relativity theory relates the length L of an object moving at a…
A:
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: In our inertial reference frame, we see a particle accelerating with a velocity dx/dt = ( 1 -…
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: inertial reference frames are proper frames for the two events listed? Choo
A:
Q: spaceship has proper length L_p and passes by a person standing on Earth. The person standing on…
A:
Q: A spaceship moves by Earth at 2.8×108 m/s. A satellite moves by Earth in the opposite direction at…
A:
Q: c²r The time dilation a distance r from Earth's center is 3 = due to the speed of a satellite +…
A: Given that: The time dilation factor at Earth's surface β=2GMREC2 The speed of a satellite in a…
Q: Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length…
A:
Q: Suppose an astronaut travels to a star 10 lightyears away at a significant fraction of the speed of…
A:
Q: A day on the Earth has 24 hours. How fast must a spacecraft travel so that the spacecraft clocks…
A: Time measured from an observer outside the frame of reference, t' = 24 hrs Time measured from an…
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
- The spaceship Lilac, based on the Purple Planet, is779 m long when measured at rest. When the Lilac passes Earth, observers there measure its length to be 724 m. At what speed v is the Lilac moving with respect to Earth? Express your answer as a multiple of the speed of light ?.You pitch a baseball to your friend from the back of a pick-up truck. You know that you pitch at 40 m/s, but your friend reports that he caught the ball going 10 m/s. What is the speed of the truck? (Use Galilean/Newtonian relativity.Answer both of the following questions regarding Special Relativity: a) An astronaut leaves their twin behind on Earth and departs on a journey on a spacecraft travelling at a speed of 0.840c. After 40.0 years pass on Earth, the astronaut returns to Earth to find that their age is now different from their twin. Both twins were 20 years old when the journey started. How old is the astronaut upon returning to Earth?
- You are in a rocket moving away from Earth at one-third the speed of light relative to Earth. A friend is on Earth, and an astronaut in another rocket is moving toward Earth at one-third the speed of light (in the Earth reference frame), on a path collinear with your path. If each of you records the duration of your journey in your three respective reference frames, which of you records the proper time interval?A ship is heading off to Bernard's star at 0.700c. As it passes a space station (at rest with respect to the Earth) a few days out from Earth, the ship fires a "photon torpedo" in the forward direction and another in the reverse direction. the torpedoes have a speed relative to the ship of 0.700c. On a space-time diagram, determine the direction and speed of each torpedo as seen by the station. Check your answers using the relativistic addition of velocities formula.Observers in reference frame S see an explosion located at x1=620 m. A second explosion occurs 6.0 micro-s later at x2=1500 m.In reference frame S', which is moving along the +x-axis at speed V, the explosions occur at the same point in space. What is the separation in time delta t' between the two explosions as measured in frame S'? Express your answer in microseconds (micro-s). delta t' = ? micro-s
- I need help on question 9?In frame o an object moves in the x-direction with velocity u = 0.82c. Find the magnitude of the x-component of the velocity in frame o' which moves at velocity v =-.75c in the x-direction relative to frame o. Give your answer in units of c (e.g. 0.703 if the answer is 0.703c). Round your answer to 3 decimal places. Add your answerAt t=0, an alien spaceship passes by the earth: let this be event A. At t=13 min (according to synchronized clocks on earth and Mars), the spaceship passes by Mars, which is 5 light-minutes from earth at the time: let this be event B. Radar tracking indicates that the spaceship moves at a constant velocity between earth and Mars. Just after the ship passes earth, people on earth launch a probe whose purpose is to catch up with and investigate the spaceship. This probe accelerates away from earth, moving slowly at first, but moving faster and faster as time passes, eventually catching up with and passing the alien ship just as it passes Mars. In all parts of this problem, you can ignore the effects of gravity and the relative motion of earth and Mars (which are small) and treat earth and Mars as if they were both at rest in the inertial reference frame of the solar system. Also assume that both the probe and the alien spacecraft carry clocks. 1. Draw a quantitatively accurate…