Is tidal power a renewable resource? Assuming the rate of energy loss due to the tides remains constant at 3.9 TW, estimate the time it will take for Earth to lose 10% of its rotational energy to tidal losses. If humans were to extract additional tidal energy at the rate of 100 MW in such a way that friction increases in the system and this additional energy was also lost by Earth, how much sooner would Earth lose 10% of its rotational energy? (See Problem 31.14 for Earth’s moment of inertia.)