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In an attempt to reduce the extraordinarily long travel times for voyaging to distant stars, some...

In an attempt to reduce the extraordinarily long travel times for voyaging to distant stars, some people have suggested traveling at close to the speed of light. Suppose you wish to visit the red giant star Betelgeuse, which is 430 ly away, and that you want your 20,000 kg rocket to move so fast that you age only 38 years during the round trip.

A.) How fast (v) must the rocket travel relative to earth?

Express your answer as a fraction of the speed of light to five significant figures according to the expression below.

B.) How much energy is needed to accelerate the rocket to this speed?

Express your answer to two significant figures and include the appropriate units.

C.) How many times larger is this energy than the total energy used by the United States in the year 2000, which was roughly 1.0×10^20J

Express your answer using two significant figures.

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