An isolated rail car originally moving with speed $v_0$ on a straight, frictionles, level track contains a large amount of sand. $A$ release valve on the bottom of the car malfunctions, and sand begins to pour out straight down relative to the rail car. Is momentum conserved in this process?

  • A

    The momentum of the rail car alone is conserved

  • B

    The momentum of the rail car $+$ sand remaining within the car is conserved

  • C

    The momentum of the rail car $+$ all of the sand, both inside and outside the rail car, is conserved

  • D

    Both $(A)$ and $(C)$

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