1. The problem statement, all variables and given/known data Consider a transformation to a relatively uniformly moving frame of reference, where each position vector ri is replaced by rli = ri − vt. (Here v is a constant, the relative velocity of the two frames.) How does a relative position vector rij transform? How do momenta and forces transform? Show explicitly that if equations (1.1) to (1.4) hold in the original frame, then they also hold in the new one. 2. Relevant equations (1.1) pli = miai = Fi (1.2) Fi = Fi1 + Fi2 + · · · + FiN = ∑Fij (1.3) Fji = -Fij (1.4) Fij = r^ijf(rij) The r^ is supposed to be the unit vector but I can't get r hat to work. p=mv F=ma 3. The attempt at a solution So I said rij = ri - rj As rli = ri − vt, rearranged and got ri on its own and then subbed into rij = ri - rj, giving: rij = rli - rj +vt I'm confused about the next part. v is relative velocity so: v = vi - vj What does this mean for the momenta and the forces? Any help would be much appreciated.