A big truck has a mass of 5,000kg. It is moving down the road at a velocity of 15m/s. As it approaches a stop sign, the driver tries to stop, but the truck slides on ice and hits a car (mass = 500kg) that is stopped. After the collision, they move separately, the truck continuing on at a velocity of 9m/s.

What is the velocity of the car after the collision?

Alright, so I know the formula and all that jazz, but the thing that I'm really having trouble with is UNDERSTANDING how to use the formula here.
Like, I don't know how, " m1 • v1(before) + m2 • v2(before) = m1 •v1(after) + m2 • v2(after) " <--- that, is going to help me figure out that the velocity of the car is.
If someone can PLEASE explain this to me and how me how it's suppose to work, that would be awesome.
Thanks

1 answer

momentum before = 5000*15 + 500*0

momentum after = 5000*9 + 500*V

they are the same (Newton #1)

so

5000*15 = 5000*9 + 500 V