High School

A 10,000 kg railroad car is rolling at 2.00 m/s when a 4,000 kg load of gravel is suddenly dropped in. What is the car's speed just after the gravel is loaded?

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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