  In this note we study a new kinetic model of opinion dynamics. The model
incorporates two forces -- alignment of opinions under all-to-all communication
driving the system to a consensus, and Rayleigh type friction force that drives
each `player' to its fixed conviction value. The balance between these forces
creates a non-trivial limiting outcome.
  We establish existence of a global mono-opinion state, whereby any initial
distribution of opinions for each conviction value aggregates to the Dirac
measure concentrated on a single opinion. We identify several cases where such
a state is unique and depends continuously on the initial distribution of
convictions. Several regularity properties of the limiting distribution of
opinions are presented.
