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The statue of Isaac Newton is crated and moved from the Oxford Museum of Natural History and Science for cleaning. The mass of the statue and the crate is 150kg. As the statue slides down a ramp inclined at 40 degrees, the curator pushes up, parallel to the ramp's surface, so that the crate does not accelerate. If the statue slides 3m down the ramp, and the coefficient of kinetic friction between the crate and the ramp is 0.54, calculate the work done on the crate by each of the following:
(a) the gravitational force,
(b) the curator,
(c) the friction force, and
(d) the normal force between the ramp and the crate.
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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