Eco Car

electric current question (2 parts)?

A projected Electric Vehicle makes use of storage batteries as its source of energy. Its mass is 1400 kg and it is powered by 26 batteries, each 12 V, 52 A·h. Assume that the car is driven on level roads at an average speed of 43 km/h, and the average friction force is 241 N. Assume 100% efficiency and neglect energy used for acceleration. No energy is consumed when the vehicle is stopped since the engine doesn't need to idle.

what is the horsepower required?

After approximately how many kilometers must the batteries be recharged?

a 12 volt 52 amp-hr battery stores 52x12 = 624 watt-hr.
26 of them would be 16224 watt-hrs

16224 watt-hrs x 3600 sec/hr = 5.84e7 Joules

In 1 km, working against a 241 N force, W = Fd = 241x1000 = 2.41e5 Joules/km

so the batteries will last 5.84e7 Joules / 2.41e5 Joules/km = 242 km (b)

At 43 km/h or 11.9 m/s and an energy usage of 2.41e5 Joules/km:

2.41e5 Joules/km x 43 km/h = 1.036e+7 J/hour

1.036e7 J/hour x 1 hr/3600s = 2878J/s or 2878 watts.
1HP = 746 watts
so 2878 watts = 3.86 HP

.

Battery Electric Focus ST (BEV) for The Jay Leno Show

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