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Answer :
The speed of the railroad car just after the gravel is loaded into the railroad car is 1.42m/s.
According to the law of conservation of momentum, the momentum should remain always constant in such condition where there is no external force.
So,
Initial momentum = final momentum
MV = mv
M is the mass of the railroad rolling,
V is the initial rolling speed.
m is the mass after the 4000 kg gravel is suddenly dropped,
v is the speed just after the loading.
Putting values,
10000 x 2 = 14000 x v
v = 1.42m/s.
So, the speed of the railroad car will be 1.42m/s.
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