An electric car is designed to run off a bank of 12.0-V batteries with total energy storage of 2

step 1 In this problem we are given the voltage of battery is 12 volts and the energy stored in battery

An electric car is designed to run off a bank of 12.0-V...

An electric car is designed to run off 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 will the car travel before it is "out of juice"?

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Key Concepts

Electric Power

Electric power is the rate at which energy is transferred or converted, typically expressed in watts (joules per second). In electrical circuits, power is calculated as the product of voltage and current, and it quantifies how quickly electrical energy is being used by a device.

Electric Current

Electric current is the flow of electric charge in a circuit, measured in amperes. It is directly related to the power consumption of electrical devices through the relationship P = IV, where a higher current for a given voltage signifies higher power usage.

Energy Storage and Consumption

Energy storage refers to the total amount of energy available in a battery or other storage device. By dividing the stored energy by the power consumption rate, one can determine the duration for which the energy can be supplied. This concept is essential for understanding how long a device, such as an electric car, can operate before requiring a recharge.

Uniform Motion

Uniform motion describes movement at a constant speed in a straight line. When a vehicle moves steadily, the distance traveled is the product of speed and time. This principle links the operating duration of a device (determined by its energy consumption) to the distance it covers.

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