The horizontal runway in Figure 2 has negligible friction and air resistance. As the
truck moves along the runway, it starts to rain. The rain falls vertically and water
collects in the truck.
Discuss whether there are any changes in the momentum of the truck and collected water.
My answer was '
momentum is conserved in the collision between the truck and rain. So momentum of truck before collision + momentum of rain before collision as it hits truck = momentum of truck with water collected. But the momentum of rain is 0 after it hits truck (it gets collected) and because momentum in system has to be conserved, the heavier truck must gain momentum'.
But the correct answer was the momentum of the truck remains the same so its velocity decreases in order to compensate for the greater mass.
Why is my answer wrong? Shouldn't we count the momentum of the rain before hand too because it's included in the system?