Having trouble with the last 3 parts on this one. I know someone out there can h

Question

Having trouble with the last 3 parts on this one. I know someone out there can help.

A lightweight electric car is powered by ten 12-V batteries. At a speed of 90 km/h, the average frictional force is 1350 N.

1. If each battery can deliver a total charge of 140 Ah before recharging, what is the total charge in coulombs that can be delivered by the ten batteries before recharging?

Answer: 5.04*10^6 C

2. What is the total electric energy delivered by the ten batteries before recharging?

3. How far can the car travel at 90 km/h before the batteries must be recharged?

4. What is the cost per kilometer if the cost of recharging the batteries is 9 cents per kilowatt-hour?

Thanks in advance.

Explanation / Answer

a ) Total charge of the each battery is q = 140 A - h                           q = 140 * 3600 s                                                              = 5.04 *10^6 C b ) Total electric energy         P = V i       E / t = V * i       E = V * i t        E = ( 12.0 V ) ( 5.04 * 10^6 C )             = 60.4 *10^6 J This is the energy delivered by each battery Energy delivered by two batteries is ( 10.0 V ) ( 12.0 V ) ( 5.04 *10^6 C )                                         E = 6.04 *10^8 J c ) distance travel d = v t                                    = ( 90 km/ h ) ( 1 h )                                     = 90 km                                     d ) Total energy    = 10*12 * 5.04 *10^6 J / 3.6*10^6   kwh                              = (10*12 * 5.04 J / 3.6 kwh ) ( 9 cents / kwh )                              = 15 cents                  

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