The center of our Milky Way galaxy is about 23000 ly away. (a) To eight significant figures, at what constant speed parameter would you need to travel exactly 23000 ly (measured in the Galaxy frame) in exactly 25 y (measured in your frame)? (b) Measured in your frame and in lightyears, what length of the Galaxy would pass by you during the trip? (a) Number i (b) Number i Units Units

The center of our Milky Way galaxy is about 23000 ly away. (a) To eight significant figures, at what constant speed parameter would you need to travel exactly 23000 ly (measured in the Galaxy frame) in exactly 25 y (measured in your frame)? (b) Measured in your frame and in lightyears, what length of the Galaxy would pass by you during the trip? (a) Number i (b) Number i Units Units

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 87AP: Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of...

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Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?
A spaceship, 200 m long as. seen on board, moves by the Earth at 0.970c. What is its length as measured by an earthbound observer?
A spaceship in distress sends out two escape pods inopposite directions. One travels at a speed v1=+0.70cin one direction, and the other travels at a speed v2=-0.80 cin the other direction, as observed from thespaceship. What speed does the first escape pod measurefor the second escape pod?
In a parallel universe, the quantity t has the value 3.14049... Express a in that universe to (a) four significant figures: (b) five significant figures:
The radius of our galaxy is approximately3 x 10^20 m. How fast must a spaceship travel so that thecrossing the galaxy takes 40 years as measured on boardthe Ship? How long would the trip take as measured onEarth?
A star is 40.0 light-years from Earth (1 light-year is the distance that light travels in 1 year).(a) How far would you measure this distance to be if you traveled it in a spaceship moving at1.00 x 10^8 m/s? (b) How long would the trip last (for you)?
Our universe has properties that are determined by thevalues of the fundamental physical constants, and it would be a muchdifferent place if the charge of the electron, the mass of the proton, orthe speed of light was substantially different from its actual value. Forinstance, the speed of light is so great that the effects of relativity usuallygo unnoticed in everyday events. Let’s imagine an alternate universewhere the speed of light is 1,000,000 times less than it is in ouruniverse to see what would happen. In our universe, the rest energy of an electron is approximately 8.2 * 10-14 J. What would it be in the alternate universe? (a) 8.2 * 10-8 J; (b) 8.2 * 10-26 J; (c) 8.2 * 10-2 J; (d) 0.82 J.
Our universe has properties that are determined by thevalues of the fundamental physical constants, and it would be a muchdifferent place if the charge of the electron, the mass of the proton, orthe speed of light was substantially different from its actual value. Forinstance, the speed of light is so great that the effects of relativity usuallygo unnoticed in everyday events. Let’s imagine an alternate universewhere the speed of light is 1,000,000 times less than it is in ouruniverse to see what would happen. An airplane has a length of 60 m when measured at rest. When the airplane is moving at 180 m>s (400 mph) in the alternate universe, how long would the plane appear to be to a stationary observer? (a) 24 m; (b) 36 m; (c) 48 m; (d) 60 m; (e) 75 m.
Our universe has properties that are determined by thevalues of the fundamental physical constants, and it would be a muchdifferent place if the charge of the electron, the mass of the proton, orthe speed of light was substantially different from its actual value. Forinstance, the speed of light is so great that the effects of relativity usuallygo unnoticed in everyday events. Let’s imagine an alternate universewhere the speed of light is 1,000,000 times less than it is in ouruniverse to see what would happen. If the airplane of Passage Problem 37.71 has a rest mass of 20,000 kg, what is its relativistic mass when the plane is moving at 180 m/s ? (a) 8000 kg; (b) 12,000 kg; (c) 16,000 kg; (d) 25,000 kg; (e) 33,300 kg.
Our universe has properties that are determined by thevalues of the fundamental physical constants, and it would be a muchdifferent place if the charge of the electron, the mass of the proton, orthe speed of light was substantially different from its actual value. Forinstance, the speed of light is so great that the effects of relativity usuallygo unnoticed in everyday events. Let’s imagine an alternate universewhere the speed of light is 1,000,000 times less than it is in ouruniverse to see what would happen. In the alternate universe, how fast must an object be moving for it to have a kinetic energy equal to its rest mass? (a) 225 m/s; (b) 260 m/s; (c) 300 m/s; (d) The kinetic energy could not be equal to the rest mass.
According to the Theory of Relativity, the length of an object depends on its velocity v with respect to an observer. For an object whose length at rest is 10 m, its observed length L satisfies the equation c2L2 + 100v2 = 100c2 where c is 300,000 km/s, the speed of light. (Round your answers to four decimal places.) (a) Express L as a function of v and c.L = 10√(c+v)(c−v)c (b) What is the observed length L of a meteor that is 10 m long at rest and that is traveling past the earth at 20,000 km/s?(c) What is the observed length L of a satellite that is 10 m long at rest and that is traveling at 15,000 km/s?(d) What is the net change in the observed length L of an object whose velocity changes from 15,000 km/s to 20,000 km/s?
Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54 × 107 light-years from Earth. If the lifetime of a human is taken to be 85.0 years, a spaceship would need to achieve some minimum speed Umin to deliver a living human being to this galaxy. How close to the speed of light would this minimum speed be? Express your answer as the difference between Umin and the speed of light c. 8.96 ×10¹3 C- Umin m/s Incorrect