A spaceship and its occupants have a total mass of160,000 kg. The occupants would like to travel to a starthat is 35 light-years away at a speed of 0.70c. To accelerate,the engine of the spaceship changes mass directly to energy.(a) Estimate how much mass will be converted to energyto accelerate the spaceship to this speed. (b) Assuming theacceleration is rapid, so the speed for the entire trip can betaken to be 0.70c, determine how long the trip will takeaccording to the astronauts on board.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter26: Relativity
Section: Chapter Questions
Problem 11P: The proper length of one spaceship is three times that of another. The two spaceships are traveling...
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A spaceship and its occupants have a total mass of
160,000 kg. The occupants would like to travel to a star
that is 35 light-years away at a speed of 0.70c. To accelerate,
the engine of the spaceship changes mass directly to energy.
(a) Estimate how much mass will be converted to energy
to accelerate the spaceship to this speed. (b) Assuming the
acceleration is rapid, so the speed for the entire trip can be
taken to be 0.70c, determine how long the trip will take
according to the astronauts on board.

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