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AyooNisto
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Homework Statement
i put my answers to the questions in bold
A spaceship and its occupants have a total mass of 1.8×105kg . The occupants would like to travel to a star that is 30 light-years away at a speed of 0.70c. To accelerate, the engine of the spaceship changes mass directly to energy.
How much mass will be converted to energy to accelerate the spaceship to this speed?
Assume the acceleration is rapid, so the speed for the entire trip can be taken to be 0.70c, and ignore decrease in total mass for the calculation. How long will the trip take according to the astronauts on board?
Homework Equations
The Attempt at a Solution
part a)
substituting the numebrs into the first equation
√(1-(0.70)2) = .7141428429
1/.7141428429 = 1.400280084
1.400280084 - 1 = .400280084moc2
.40(180000kg) = 72000kg
part b
t = d/v
(30y)c/0.70c = 42.9 y
42.9y = tΔ/√(1-(0.70)2) = tΔ0 = 30.6y
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