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A Spacecraft with a total mass of 50,000kg is flying with a speed of 90m/s with respect to a distant planet. An internal explosion splits its front off, which is observed to drift away with a speed od 30m.s in the forward direction as observed in the reference frame of the remaining spacecraft. The remaining spacecraft has a mass of 32,000kg after the explosion. What is the speed of the remaining spacecraft with respect to the planet after the explosion?
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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