- #1

zell_D

- 57

- 0

## Homework Statement

a moving train collides with a train that is not moving, and the trains use their springy bumpers to bounce off of each other without damage. Assume diff masses for train A and B. Identify your isolated system, solve for the final velocity of EACH train in terms of INITIAL VELOCITY of the initially moving train and the 2 masses

## Homework Equations

P=mv

Conservation of momentum: Pfinal=Pinitial

Assumption of no external forces, spring as part of the system. k not addressed

## The Attempt at a Solution

pi=[mA](v

_{i}A) (since B is at rest)

pf=[mA](v

_{f}A)+[mB](v

_{f}B)

pi=pf

[mA](v

_{i}A)=[mA](v

_{f}A)+[mB](v

_{f}B)

since A's final velocity defined as in the negative direction in my system

[mA](v

_{i}A)=-[mA](v

_{f}A)+[mB]()

v

_{f}A = [[mB]v

_{f}B-[mA](v

_{i}A)]/mA

v

_{f}B = [[mA]v

_{f}A+[mA](v

_{i}A)]/mB

**my question**this is the furthest i got to. I do not know if i am right or wrong. But it seems like that's not the furtherst i can solve this problem. since the final velocity variable still are present in both