An all-electric car (not a hybrid) is designed to run from a...

An all-electric car (not a hybrid) is designed to run from a bank of $12.0$ - $\mathrm{V}$ batteries with total energy storage of $2.00 \times 10^{7} \mathrm{~J}$. (a) If the electric motor draws $8.00 \mathrm{~kW}$, what is the current delivered to the motor? (b) If the electric motor draws $8.00 \mathrm{~kW}$ as the car moves at a steady speed of $20.0 \mathrm{~m} / \mathrm{s}$, how far can the car travel before it is "out of juice"?

An all-electric car (not a hybrid) is designed to run from a bank of $12.0$ - $\mathrm{V}$ batteries with total energy storage of $2.00 \times 10^{7} \mathrm{~J}$. (a) If the electric motor draws $8.00 \mathrm{~kW}$, what is the current delivered to the motor?
(b) If the electric motor draws $8.00 \mathrm{~kW}$ as the car moves at a steady speed of $20.0 \mathrm{~m} / \mathrm{s}$, how far can the car travel before it is "out of juice"?

Key Concepts

Energy Consumption and Distance Traveled

The connection between energy consumption and distance traveled in an electric vehicle involves calculating the operational time from the available energy and the power draw (using t = E/P), and then multiplying by the constant speed to get the travel distance. This relationship highlights how energy storage and power usage directly impact the range or distance a vehicle can cover.

Battery Energy Storage

Battery energy storage refers to the total amount of energy that a battery can store and subsequently supply, usually measured in joules (J) or watt-hours (Wh). This concept is central in determining the operational duration of devices like electric cars, as it dictates the total energy available for performing work before the battery is depleted.

Electric Power

Electric power represents the rate at which energy is transferred or converted in an electrical system. It is typically measured in watts (W) and is calculated by multiplying the voltage by the current (P = IV). In applications like electric vehicles, power is essential in determining how quickly energy is consumed to maintain operations such as propulsion.

Electric Current

Electric current is the rate of flow of electric charge and is measured in amperes (A). It is determined by the relationship between power and voltage, where dividing the power by the voltage gives the current (I = P/V). Understanding current is crucial for designing circuits and ensuring that electrical components can handle the load.

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