Supersonic flow of Bose-Einstein condensate past macroscopic obstacles is studied theoretically. It
is shown that in the case of large obstacles the Cherenkov cone transforms into a stationary spatial
shock wave which consists of a number of spatial dark solitons. Analytical theory is developed
for the case of obstacles having a form of a slender body. This theory explains qualitatively the
properties of such shocks observed in recent experiments on nonlinear dynamics of condensates of
dilute alkali gases.