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Momentum

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A sand-spraying locomotive sprays sand horizontally into a freight car, (locomotive at the left and car at the right). The locomotive and freight car are not attached. The engineer in the locomotive maintains his speed so that the distance to the freight car stays constant. The sand is transferred at a rate dm/dt = 10Kg/s with a velocity of 5m/s relative to the locomotive.
The car starts from rest with an initial mass 2000kg. Find its speed after 100s

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The solution answers a question on momentum.

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