I was given a problem which states that there are two identical mining carts, A and B, traveling down a distance L with equal velocities on two identical tracks. There is an identical man in each cart. As the carts travel, it begins to snow, which in turn increases the mass of both carts and leaves snow on the tracks. The man in cart A begins to shovel the snow off the cart, while the man in cart B lets the snow accumulate. Ignoring friction, cart B arrives at its destination before cart A. Using Kinematics, Energy-work theorems, and momentum equations, explain how this could be possible.
p = mv where p = momentum
pbefore = pafter
The Attempt at a Solution
I had tried accounting for an increase in mass for the second cart, cart B, as the snow simply accumulates and isn't brushed off to the side like in cart A. The initial momentum of each cart is equal, but im not sure how the final momentum of the carts changes.