Explanation:
Kirchhoff's Current Law (First Law) states that the total current entering a junction must exactly equal the total current leaving that junction. Current is the rate of flow of charge. Therefore, this law simply affirms that electric charge cannot be created or destroyed at a circuit node; all charge arriving must depart. It is the conservation of charge.
An engine pumps water continuously through a hose. Water leaves the hose with a velocity 'v' and mass per unit length is 'm'. What is the power imparted to the water?
Explanation:
Power is the rate of doing work or imparting kinetic energy (dK/dt). Mass exiting per second = m * v (mass/length * length/time). Kinetic energy imparted per second = 1/2 * (mass per second) * v^2 = 1/2 * (mv) * v^2 = 1/2 * m * v^3. This is a very common advanced mechanics question.
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