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An explosive shell, with total mass 80 kg is launched vertically into the air from a mortar. The shell explodes in flight and breaks into two parts with masses of 30 kg and 50 kg (assume the mass of the explosive is negligible). The portions land at the same time. The 30 kg portion of the shell lands 1000 m from the mortar. Determine where the other portion of the shell landed, explaining the physical principles that you applied to find your answer.
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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