Radiation pressure is an important topic within a standard physics course (see, in particular, Refs. 1 and 2). The physics of radiation pressure is described, the magnitude of it is derived, both for the case of a perfectly absorbing surface and of a perfect reflector, and various applications of this interesting effect are discussed, such as space sailing or optical "tweezers." There are, however, relatively few problems that are available as end-of-the-chapter exercises. Below I present a problem I composed that I assign to my students in class and that facilitates a lively class discussion. This problem is somewhat reminiscent of the setting used by P. N. Lebedev in his historic experiments on proving the existence of radiation pressure.