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Assuming 95.0% efficiency for the conversion of electrical power by the motor, what current must the 12.0 V batteries of a 740 kg electric car be able to supply:

(a) To accelerate from rest to 25.0 m/s in 1.00 min?

(b) To climb a 200 m high hill in 2.00 min at a constant 25.0 m/s speed while exerting 475 N of force to overcome air resistance and friction?

(c) To travel at a constant 25.0 m/s speed, exerting a 475 N force to overcome air resistance and friction?

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