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An alpha particle collides with an oxygen nucleus, initially at rest. The alpha particle is scattered at an angle of 64 degrees above its initial direction of motion, and the oxygen nucleus recoils at an angle of 51 degrees below this initial direction. The final speed of the oxygen nucleus is 1.20 x 10^5 m/s. What is the final speed of the alpha particle? (The mass of an alpha particle is 4.00 u and the mass of an oxygen nucleus is 16.00 u.)
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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