This paper is concerned with the asymptotic behavior of solutions of the second-order nonlinear perturbed dynamic equation $$(r(t)x^{Delta}(t))^{Delta};+;F(t,;x^{sigma}))=G(t,;x^{sigma},;(x^{Delta})^{sigma})$$ on a time scale $mathbb{T}$. By using a new technique we establish some sufficient conditions which ensure that every solution oscillates or converges to zero. Our results improve the known oscillation results on the literature for the perturbed dynamic equations on time scales. Some examples illustrating our main results are given.