What is the Velocity of the Combined Freight Cars in a Collision?

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In a freight yard scenario, an empty freight car moving at 10 m/s collides with a stationary loaded car, resulting in both cars coupling together. The empty car has a mass of 3,000 kg, while the loaded car weighs 15,000 kg (3,000 kg plus 12,000 kg of cargo). The momentum of the empty car is calculated as 30,000 kg·m/s, and the total momentum after the collision is 150,000 kg·m/s. The combined mass of the two cars is 18,000 kg, leading to a calculated velocity of 180 m/s, which is incorrect. The focus of the discussion is on applying momentum principles to solve for the post-collision speed of the coupled freight cars.
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Homework Statement


In a freight yard a train is being put together from freight cars. An empty freight car, coasting at 10m/s, strikes a loaded car that is stationary, and the cars couple together. Each of the cars has a mass of 3000 kg when empty, and the loaded car contains 12,000 kg of canned soda. With what speed does the combination of the two cars start to move?


Homework Equations


p=mv (f)(change in time)=p



The Attempt at a Solution


calculated p for empty car p=(10)(3000) p=30,000
calculated the full momentum p=(10)(15000) p=150,000
totaled the masses to find the velocity 180,000=18,000v v=180 m/s
 
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nvm.
 
No i didn't find inertia, but the whole worksheet is dealing with momentum and impulse.
 
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