Although they don't have mass, photons—traveling at the speed of light—have momentum. Space travel experts have thought of capitalizing on this fact by constructing solar sails—large sheets of material that would work by reflecting photons. Since the momentum of the photon would be reversed, an impulse would be exerted on it by the solar sail, and—by Newton's Third Law—an impulse would also be exerted on the sail, providing a force. In space near the Earth, about 3.84 ·1021 photons are incident per square meter per second. On average, the momentum of each photon is 1.30 · 10-27 kg m/s. For a 1000.-kg spaceship starting from rest and attached to a square sail 20.0 m wide, how fast could the ship be moving after 1 hour? One week? One month? How long would it take the ship to attain a speed of 8000. m/s, roughly the speed of the space shuttle in orbit?
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