A 100-watt (W) light bulb has resistance R = 144 ohms (Ω) when attached to household current, where the voltage varies as V = V0 sin(2πft) (V0 = 110 V, f = 60 Hz). The energy (in joules, J) expended by the bulb over a period of T seconds isU =

P(t)dt

where P = V 2/R (J/s) is the power. Compute U if the bulb remains on for 5 h.