Suppose that a vast secret chamber was built below Presidents' Circle, in the middle of the green. Assume that the chamber is an empty (vacuum-filled) cube, with dimensions 20 meters to a side, with its center point 50 meters below ground level. It has been proposed that an accelerometer, measuring the gravitational acceleration at ground level, can be used to detect the presence of this subterranean cavern: The gravitational acceleration at ground level directly above the chamber would be reduced by an amount dg, compared to a reading with no chamber. Using Newton's law of gravity, an assumed density of the ground material (dirt/rock) of 2500 kg/m^3, estimate the magnitude of dg. There are many ways to solve this problem. However, for the purpose of this exercise, treat sources of gravity as point particles, and use many of them to represent a continuous medium. Write a python script chamber. py that calculates dg in this approximation. Be sure that your answer is good to three significant digits, but use only as many points as you need, roughly speaking, to get to this answer. Submit your python script.