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Answer :
Using the law of conservation of momentum, the final velocity of a 32000-kg freight car after having 124000 kg of scrap metal dumped into it, while initially moving at 0.910 m/s, is 0.18667 m/s.
The subject of the question is Physics, specifically involving the principle of conservation of momentum to determine the final velocity of a freight car after loading additional mass. For a 32000-kg freight car coasting at 0.910 m/s that receives 124000 kg of scrap metal, we use the formula:
Initial momentum = Final momentum
(32000 kg \× 0.910 m/s) + (124000 kg \× 0 m/s) = (32000 kg + 124000 kg) \× final velocity
29120 kg\m/s = 156000 kg \× final velocity
Final velocity = 29120 kg\m/s / 156000 kg
Final velocity = 0.18667 m/s
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