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A tank originally contains 500 litres of fresh potable water. Brine containing 1 kg of salt for every 10 litres of brine is then added into the tank at a rate of 5 litres per minute. The brine solution leaves the tank through the outlet at 5 litres per minute. Derive a mathematical model that represents how much dissolved salt is in the tank as a function of time.
Assume the solution in the tank is always well-mixed. State what other assumptions are used.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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Illustrate the cause of the components accelerating from rest down the conveyor.
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Determine the tension in each string
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