Question

2

Suppose we have a spaceship about the size of a typical ocean cruise ship today, which

means it has a mass of about 100 million kilograms, and we want to accelerate the ship to a

speed of 10% of the speed of light.

A)

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How much energy would be required? (Hint: The spaceship’s speed is small compared to

the speed of light, so the kinetic energy of the spaceship will be .(1/2) *m *v^2

B)

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In one sentence, how does your answer compare to the total world energy use at present,

which is about 5 x 10^20 joules per year?

C)

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Suppose the cost of energy is 3¢ per 1 million Joules. At this price, how much would it

cost to generate the energy needed by this spaceship?

Answer 1

mass of space ship is 100*10^6 kg

speed of light is 299 792 458 m / s and 10% of speed of light is = 0.10*299 792 458 m / s=29979245.8m/s

kinetic energy=1/2 mass*(velocity)^2= 0.5*100*10^6kg*29979245.8m/s*29979245.8m/s= 4.49377*10^22 joules

PART B-

worlds consumption is 5*10^22 per years

E(spaceship)/E(world energy use)= 899

spaceship/Eworldenergyuse~ 1000

Part c-

cost for 1 million joules is 3$

so 4.49377*10^22 joules or 4.493775*10^16 million joules will cost

4.49377*10^16*3$=1.348133*10^17$

plzzz Like my work....thanks