An autonomous underwater vehicle (AUV) is designed for deep-sea exploration. It relies on a high-capacity rechargeable battery to power its scientific instruments and propulsion systems.
State the equation that relates energy transferred (EEE), power (PPP), and time (ttt).
The onboard battery pack of the AUV can store 1.512×107 J1.512 \times 10^7\text{ J}1.512×107 J of energy. An inductive docking station charges the vehicle with a constant power output of 1050 W1050\text{ W}1050 W. Calculate the time taken, in seconds, to fully recharge the battery pack from completely empty.
While cruising at its exploration depth, the potential difference across the AUV's propulsion motor is 60 V60\text{ V}60 V, drawing a current of 8.0 A8.0\text{ A}8.0 A. Calculate the electrical resistance of the motor.