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Two space shuttles belonging to two different countries made an appointment in space. Their engines are closed, and they go on their impulse directly to Mars. The space shuttles are separated by large springs. Orbiter 1, with a mass of 1.9 x 104 kilogram, then at a velocity of 3.5 x 103 km/h at 5.1o from its original direction. Space Shuttle 2, whose mass is 1.7 x 104 kilogram at a velocity of 3.4 x 103 km/h at 5.9o from its original direction (which is a straight line between two shuttles). Calculate the initial speed of the two space shuttles at the time they were connected to each other.
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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