A lightweight electric car is powered by a series combination of ten 12.0-V batteries, each having negligible internal resistance. Each battery can deliver a charge of 142 A · h before needing to be recharged. At a speed of 84 km/h, the average frictional force due to air drag and rolling friction is 1.22 kN. (a) What must be the minimum power delivered by the electric motor if the car is to travel at a speed of 84 km/h? kw (b) What is the total charge, in coulombs, that can be delivered by the series combination of ten batteries before recharging is required? kC (c) What is the total electrical energy delivered by the 10 batteries before recharging? MJ (d) How far can the car travel (at 84 km/h) before the batteries must be recharged? km (e) What is the cost per kilometer if the cost of recharging the batteries is 9 cents per kilowatt-hour? $/km

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Chapter1: Units, Trigonometry. And Vectors
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A lightweight electric car is powered by a series combination of ten 12.0-V batteries, each having negligible internal resistance. Each battery can deliver a charge of 142 A ·
h before needing to be recharged. At a speed of 84 km/h, the average frictional force due to air drag and rolling friction is 1.22 kN.
(a) What must be the minimum power delivered by the electric motor if the car is to travel at a speed of 84 km/h?
kw
(b) What is the total charge, in coulombs, that can be delivered by the series combination of ten batteries before recharging is required?
kC
(c) What is the total electrical energy delivered by the 10 batteries before recharging?
MJ
(d) How far can the car travel (at 84 km/h) before the batteries must be recharged?
km
(e) What is the cost per kilometer if the cost of recharging the batteries is 9 cents per kilowatt-hour?
$/km
Transcribed Image Text:A lightweight electric car is powered by a series combination of ten 12.0-V batteries, each having negligible internal resistance. Each battery can deliver a charge of 142 A · h before needing to be recharged. At a speed of 84 km/h, the average frictional force due to air drag and rolling friction is 1.22 kN. (a) What must be the minimum power delivered by the electric motor if the car is to travel at a speed of 84 km/h? kw (b) What is the total charge, in coulombs, that can be delivered by the series combination of ten batteries before recharging is required? kC (c) What is the total electrical energy delivered by the 10 batteries before recharging? MJ (d) How far can the car travel (at 84 km/h) before the batteries must be recharged? km (e) What is the cost per kilometer if the cost of recharging the batteries is 9 cents per kilowatt-hour? $/km
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