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A particle in the solar system is under the combined influence of the Sun's gravitational attraction and the radiation force due to the Sun's rays. Assume that the particle is a sphere of density 1400 kg/m3 and that all the incident light is absorbed. If its radius is less than some critical radius R, the particle will be blown out of the solar system. Calculate this critical radius. Note that the total radiation power of the Sun is 3.90 x 1026 W and its mass is 1.99 x 1030 kg. The universal gravitational constant is given by 6.673 x 10-11 N·m2/kg2.
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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