The system shown in Figure 2P.2 might be used to load ore onto barges for shipment. Let
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The system shown in Figure 2P.2 might be used to load ore onto barges for shipment. Let W1 be the constant mass flow rate of ore onto the barge, and letMbe the mass of ore at any time. After the pile has reached a mass M0, ore is lost over the side at a mass flow rate W2. The loss rate is roughly proportional to the amount of ore in excess of M0 at any time.
a. The barge is initially empty. Calculate the time t0 at which the ore on the barge reaches M0.
b. How does M depend on t for M > M0? What happens as t→∞?
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a To calculate the time t0 at which the ore on the barge reaches M0 we can use a mass balance equation The rate of change of mass in the barge with re...View the full answer
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