Explain the importance of the roche limit and the role of differential gravitational forces on loosely bound objects on the surface of a smaller body in the presence of a larger central planet or star. also explain how the structural strength of objects is relevant to the discussion about the roche limit.

An important dimensionless parameter concerned with very high-speed flow is the mach number, defined as v/c, where v is the speed of the object such as an airplane or projectile, and c is the speed of sound in the fluid surrounding the object. for a projectile traveling at 1170 mph through air at 50 ˚f and standard atmospheric pressure, what is the value of the mach number?