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In November 2003, the now-most-distant-known object in the solar system was discovered by observation with a telescope on Mt. Palomar. This object, known as Sedna, is approximately 1700 km in diameter, takes about 1.05×10^4 years to orbit our sun, and reaches a maximum speed of 4.64 km/s. Calculations of its complete path, based upon several measurements of its position, indicate that its orbit is highly elliptical, varying from 76.0 AU to 942 AU in its distance from the sun, where AU is the "astronomical unit," which is the average distance of the earth from the sun 1.50×108km. What is Sedna's minimum speed? What is the ratio of Sedna's maximum kinetic energy to its minimum kinetic energy?
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.
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