When antimatter interacts with an equal mass of ordinary matter, both matter and antimatter are converted completely into energy in the form of
photons. In an antimatter-fueled spaceship, a staple of science fiction, the newly created photons are shot from the back of the ship, propelling it forward. Suppose such a ship has a mass of 2.0 x 106 kg, and carries a mass of fuel equal to 1% of its mass, or 1.0 x 104 kg of matter and an equal mass of antimatter.
What is the final speed of the ship, assuming it starts from rest, if all energy released in the matter-antimatter annihilation is transformed into the kinetic energy of the ship?
