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Question 28

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.

a.

State the equation that relates energy transferred (EEE), power (PPP), and time (ttt).

[1]
b.

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.

[2]
c.

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.

[2]
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