A star that is 225 light-years away from Earth is at rest relative to Earth. You set out from Earth on a journey to the star at a constant speed of 0.93?. i) How long does it take you to travel from Earth to the star, according to an observer on Earth? ii) According to you, how long does it take for you to travel from Earth to the star? iii) According to you, what is the distance from Earth to the star?
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A star that is 225 light-years away from Earth is at rest relative to Earth. You set out from
Earth on a journey to the star at a constant speed of 0.93?.
i) How long does it take you to travel from Earth to the star, according to an
observer on Earth?
ii) According to you, how long does it take for you to travel from Earth to the star?
iii) According to you, what is the distance from Earth to the star?
The proper distance between earth and star is
speed of traveller 0.93c.
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Solved in 4 steps
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- a) Calculate the kinetic energy required to accelerate a single proton from a rest position to 0.9999c. The mass of a proton is 1.67x10*-27 kg. b) Find the ratio of the kinetic energy to the energy of a proton at rest. c) Explain why no particle accelerator will ever be able to accelerate any particle to the speed of light.A particle traveling at 3.75 x 10^8 m/s is subjected to the special theory of relativity. How fast is this velocity in relation to the speed of light? * A.) it is 50% the speed of light B.) it is 75% the speed of light C.) it is 100% the speed of light D.) it is 125% the speed of light A particle traveling at 3 x 10^8 m/s is subjected to the special theory of relativity. How fast is this velocity in relation to the speed of light? * A.) it is 50% the speed of light B.) it is 75% the speed of light C.) it is 100% the speed of light D.) it is 125% the speed of light1. Taking north as positive and south as negative for all reference frames, suppose Mayor Adams is riding a southbound train to New York City traveling at 40 m/s relative to the ground, while Governor Hochul is riding a northbound train to Albany at 33 m/s relative to the ground. A) What is the velocity of Mayor Adams in Governor Hochul's reference frame (i.e. in the reference frame where Governor Hochul isn't moving)? B) What is the velocity of Governor Hochul in Mayor Adams reference frame? C) To his surprise Mayor Adams observes a groundhog running along the aisle towards the back of the train with a speed of 2 m/s relative to the train. What is the velocity of the groundhog in Governor Hochul's reference frame? D) What is the groundhog's velocity in the reference frame of someone standing at the train station? E) What is its velocity in Mayor Adams's reference frame? F) What is its velocity in the groundhog's frame? 30 10 ft. 5 ft. 15 ft.
- Spaceship A is moving toward the Earth at 0.80c, and spaceship B is moving away from Earth at the same speed, according to observers on a distant planet. At the same moment, very bright lights are turned on at the front of spaceship A and on the back of spaceship B. The light from a)Spaceship A reaches the planet before the light from spaceship B. b)both ships reaches the planet at the same time. b)either ship could reach the planet first, but there's no way to tell in advance. d) Spaceship B reaches the planet before the light from spaceship A.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?3) The new Earth-Pluto SuperShuttle boasts that it can take you between the two planets, which are 5.0 hours apart in 2.5 hours (according to your watch). What time interval is measured by people in the Earth-Pluto frame? What is the shuttle's speed?