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At a fabrication plant, a hot metal forging has a mass of 78 kg and a specific heat capacity of 430J/(kg·°C). To harden it, the forging is immersed in 710kg of oil that has a temperature of 32°C and a specific heat capacity of 3000 J/(kg·°C). The final temperature of the oil and forging at thermal equilibrium is47° C. Assuming that heat flows only among the forging and the oil, decide the initial temperature of the forging.
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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