A huge impediment to humans\" investigating black holes up close is the aptly named phenomenon called spaghettication. Recall that tidal forces occur when an object in a gravitational eld is large, like the earth in the presence of the moon's gravitational field. In the earth-moon system, the earth sees the strongest gravitational force due to the moon on its side nearer to the moon and the weakest force on its far side. This difference in forces effectively pulls the earth apart. Fortunately, the earth is held together pretty well by its own gravity and other effects and so sees no deleterious effects. But the earth's oceans are much less rigid and so, on the side nearer to the moon, are pulled upward toward the moon, and those on the earth's far side are less attracted to the moon and so also appear higher to us on earth, yielding the well-known ocean tides. Hence the name \"tidal force\". Anyway, as you might suspect, tides are much larger near a black hole, whose gravity and its variation with distance are both much stronger than that of the moon when you're near it. Using classical gravitational theory, derive an approximate formula for the tidal force (the difference in gravitational force between the near and far sides) on an object of length d. Hint: use a Taylor series to approximate the function l/(l+x)2. Then compute the tidal force (the difference in force between that at your head and feet) as you dive into a 10- solar-mass black hole (one solar mass = 2>