Explore BrainMass

Relativity space travel and relativistic momentum

1. A ball (B) of mass m moves with velocity v relative to an observer (O). The momentum of B relative to O is p=mv according to Newtonian mechanics and p=gamma x mv according to Special Relativity. What do the above two theories predict for B's momentum if its speed equals c, the speed of light?

2. Alice travels from Earth to a distant star that is 25 light years away. One light year is the distance that light propagates in one year. Bob stays at home on Earth. Alice moves at v=0.9998c relative to Bob. The gamma factor is 50. How far has Alice traveled according to (i) her measurements and (ii) those of Bob?


Solution Preview

Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here. Thank you for using ...

Solution Summary

I have solved two relativity problems which deal with the distance traveled by a space traveler with a velocity closed to the speed of light and the relativistic momentum.