For the explosion process and material characteristics discussed in Problem 3, consider:

Data from problem 3

Consider a zero-depth burst, spherical explosive in a soil medium. Assume the value of the crater volume V depends on the explosive size, energy yield, and explosive energy, as well as on the strength Y of the soil (considered a resistance to pressure with dimensions ML^–1T^–2), soil density , and gravity g. In this problem, assume:

V = f(E, Q, 8, Y, p, g) and use dimensional analysis to produce the following energy set of dimensionless products. II = , VQv E II Y -, - = = pg E1/3 Q4/3 P