Final answer:
A physical model example is the planetary model of the atom, but it doesn't accurately represent the quantum nature of electrons. A mathematical model example is the kinetic theory of gases, but it assumes idealized conditions.
Step-by-step explanation:
One example of a physical model is the planetary model of the atom. In this model, electrons are represented as orbiting the nucleus, similar to how planets orbit the Sun. However, this model has a limitation as it does not accurately depict the quantum nature of electrons and their energy levels, which is described by the more complex quantum mechanical model.
An example of a mathematical model is the kinetic theory of gases. This model represents a gas as being composed of atoms and molecules in constant motion. However, a limitation of this model is that it assumes idealized conditions and does not account for intermolecular forces or the behavior of real gases at high pressures and low temperatures.