The weak equivalence principle is studied in a space with noncommutativity of coordinates
and noncommutativity of momenta. We find conditions on the parameters of
noncommutativity which give the possibility to recover the equivalence principle in two-
dimensional noncommutative phase space. It is also shown that in the case when these
conditions are satisfied the motion of the center-of-mass of a composite system in
noncommutative phase space and the relative motion are independent, the kinetic energy of …