The cross section of one type of weight-bearing rod (the surface you would get if you sliced the rod perpendicular to its axis) used in the Olympics is a square, as shown in the accompanying figure. The rod can handle a stress of 25,000 pounds per square inch (psi). The relationship between the stress S the rod can handle, the load F the rod can carry, and the width w of the cross section is given by the equation Sw2 = F. Assuming that w = 0.25 inch, find the load the rod can support.
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