Assignment:
Question 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=gammaxmv according to Special Relativity. What do the above two theories predict for B's momentum if its speed equals c, the speed of light?
Question 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?
Provide complete and step by step solution for the question, use formulas.