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Q1. A 65 kg hiker has fallen down a hole. One rescuer attaches a rope to the injured hiker and then a second rescuer pulls the injured hiker straight up out of the hole at a steady rate. How much force would the second rescuer need to exert on the rope to do this?
Q2. An archer puts a 0.25 kg arrow to the bowstring. An average force of 220 N is exerted to draw the string back 0.95 m. imagine that air resistance is negligible. Assume that all the energy goes into the arrow, with what speed does the arrow leave bow?
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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