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Could someone help me with a physics problem?

A stationary refrigerator car with a mass of 20000kg is rammed by a loaded gondola car with a mass of 30000kg. Before impact, the gondola car was going 1.0m/s. If they lock together, what is the new velocity?

Could someone explain how to do this question, I'm not really sure which formula to use on it.

It is simply a conservation of momentum problem. The two objects stick together, thus it is an inelastic collision, and we need not worry about conserving any other quantity than momentum.

Call the gondala car object 1, and call the refrigerator car object 2.

Conservation of momentum for an inelastic collision:
m1*v1i + m2*v2i = (m1 + m2)*vf

Because refrigerator is initially at rest, v2i = 0 thus:
m1*v1i = (m1 + m2)*vf

Solve for vf:
vf = m1*v1i/(m1 + m2)

Data:
m1:=30000 kg; m2:=20000 kg; v1i:=1 m/s;

Result:
vf = 0.6 meters/second

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MRKLIN H0 4420 Refrigerator Wagon Freight Car State Garden Show Sindelfing
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