We study the energy deposition in a one-dimensional interacting quantum system with a pointlike potential modulated in amplitude. The pointlike potential at position x = 0 has a constant part and a small oscillation in time with a frequency ω. We use bosonization, renormalization group, and linear response theory to calculate the corresponding energy deposition. It exhibits a power law behavior as a function of the frequency that reflects the Tomonaga-Luttinger liquid (TLL) nature of the system. Depending on the interactions in the system, characterized by the TLL parameter K of the system, a crossover between weak and strong coupling for the backscattering due to the potential is possible. We compute the frequency scale ω∗, at which such crossover exists. We find that the energy deposition due to the backscattering shows different exponents for K > 1 and K < 1. We discuss possible experimental consequences, in the context of cold atomic gases, of our theoretical results.