a) Let L be the diameter of our galaxy. Suppose that a person in a spaceship of mass m wants to travel across the galaxy at constant speed, taking proper time τ. Find the kinetic energy of the spaceship. (b) Your friend is impa- tient, and wants to make the voyage in an hour. For L = 105 light years, estimate the energy in units of megatons of TNT (1 megaton=4×109 J).

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