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An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (See the figure). The rope will break if the tension in it exceeds 3.00×104 N . Our hero’s mass is 70.0 kg. If the angle is 10.0, find the tension in the rope. Start with a free-body diagram of the archaeologist. What is the smallest value the angle can have if the rope is not to break?
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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