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An object with a mass of 9 kg starts from rest on a horizontal surface with friction and the coefficient of the kinetic friction if 0.55. Two additional forces are applied to it. One force of 18 Newton's is applied straight downward and another force of 97 Newton's is applied in the +x direction, parallel to the surface. This force parallel to the surface is enough to overcome static friction and move the mass. After the mass has traveled 10 meters over this horizontal surface (the entire surface has friction), these two additional forces are not present any more and in encounters a frictionless quarter-circular tamp. It reaches the top of ramp ("side" of the circle) before it stops. What is the radius, in meters, of the quarter-circular ramp?
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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