If there was a way to accelerate a spaceship close to the speed of light to go visit some neighboring star system,
one would still face the problem that every particle the spaceship finds on its way will be a projectile hitting it
with almost the speed of light, causing radiation exposure and a lot of damage on the long run.
Assume that the spaceship can illuminate the space in front of it with a powerful laser that strips away the
electrons from any particle, transforming any matter in a collection of free electrons and of charged positive
particles.
Assume farther that the spaceship has technology that allows it to create a large magnetic field in front of
it. For this problem, assume that the spaceship is 100 m wide, that it moves at a speed of 107 m/s, and that the
magnetic field in front of it is also 100 wide but extends 1000 m in front of it with a (homogenous) magnitude
of 10−4 T.
1. What should be the orientation of the magnetic field at the front of the ship to effectively protect it during
its interstellar travel?
2. Once properly oriented, from which particles will this “magnetic shield” most effectively protect? The
electrons or the other positive particles?
3. Starting from which mass will some particles be able to hit the spaceship? (You will need to think about
what happens, make some drawings, and do the math in order to answer this question.)
4. Can the spaceship be protected from hydrogen atoms found in interstellar space?