chasewickham1248 chasewickham1248
  • 12-08-2020
  • Physics
contestada

How much energy is required to accelerate a spaceship with a rest mass of 121 metric tons to a speed of 0.509 c?

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hopemichael95
hopemichael95 hopemichael95
  • 15-08-2020

Answer

1.07E22 Joules

Explanation;

We know that mass expands by a factor

=>>1/√[1-(v/c)²]

But v= 0.509c

So

1/√(1 - 0.509²)

=>>> 1/√(1 - 0.2591)

= >> 1/√(0.7409) = 1.16

But given that 121 tons is rest mass so 121- 1.16= 119.84 tons is kinetic energy

And we know that rest mass-energy equivalence is 9 x 10^19 joules per ton.

So Multiplying by 119.84

Kinetic energy will be 1.07x 10^22 joules

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