An astronaut wishes to visit the Andromeda galaxy, making

Chapter 26, Problem 26.47

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An astronaut wishes to visit the Andromeda galaxy, making a one-way trip that will take 30.0 years in the spaceships frame of reference. Assume that the galaxy is 2.00 million light years away and that his speed is constant. (a) How fast must he travel relative to Earth? (b) What will be the kinetic energy of his spacecraft, which has mass is 1.00 106 kg? (c) What is the cost of this energy if it is purchased at a typical consumer price for electric energy, 13.0 cents per kWh? The following approximation will prove useful:

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