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An object at rest in a coordinate frame suddenly explodes into three parts of equal mass m. Two parts move away at right angles to each other and with equal speeds |v|.a) Calculate which direction is consistent with the physical law of conservation of momentum assuming there are no external forces.b) Calculate the magnitude (speed) of the velocity of the third part in terms of the parametersm and |v|.c) Does your solution conserve the mechanical energy of the system?
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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