In this manuscript, we investigate the intricate dynamical properties arising from the interaction of two-interfering electromagnetic waves within a Rubidium-87 four-level N-type atomic medium. The study employs a probe field to interact with the atomic medium while incorporating two control fields one of which would be the Kerr field to modulate the system dynamics. The key parameters under scrutiny include the probe field detuning (ΔP/γ), control field parameters such as Rabi frequencies and detunings (Ω1,2/γ, Δ1,2/γ), and the angular orientation (θ) between the two-interfering waves. The research delves into the Energy density W, Momentum density P, Spin Angular momentum density S, Absorption rate Arate, Gradient force Fgrad, and Torque T associated with the two-interfering waves within the atomic medium. Through systematic variations in the aforementioned parameters, significant insights are gained into the nuanced behaviour of the system. The results showcase a rich tapestry of variations in the dynamical properties, shedding light on the underlying physics governing the interaction of electromagnetic waves in this unique atomic medium. This investigation not only contributes to the fundamental understanding of the dynamics within complex atomic systems but also holds potential applications in fields such as quantum information processing and quantum optics. The findings of this manuscript pave the way for further exploration and utilization of these intricate phenomena in the realm of advanced technologies and quantum communication.