College Physics 10th Edition by Raymond Serway,Chris Vuille

Exercise 54

An astronaut wishes to visit the Andromeda galaxy, making a one-way trip that will take 30.0 years in the spaceship's frame of reference. Assume the galaxy is 2.00 million light-years away and 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 of 1.00 × 10 6 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: