[F.3 Physics]Heat

Internal energy depends of four factors:
mass, material, state and temperature.

If two objects of the same temperature and smae mass, whether they have the same kinetic energy?
Also, if two objects of the same state and smae mass, whether they have the same potential energy?

I originally think that in both case, they are the same. But since internal energy=K.E+P.E, if they are the same, the internal energy only depends on mass, state and temperature, how about the material?

Thanks.