(II) The burning of gasoline in a car releases about 3.0 ×10^4 kcal / gal. If a car averages 38

step 1 Efficiency of engine can be written as E is equal to the work done by the engine or the heat inp

(II) The burning of gasoline in a car releases about 3.0...

(II) The burning of gasoline in a car releases about
$3.0 \times 10^{4}$ kcal $/$ gal. If a car averages 38 $\mathrm{km} / \mathrm{gal}$ when driving
$95 \mathrm{km} / \mathrm{h},$ which requires $25 \mathrm{hp},$ what is the efficiency of the
engine under those conditions?

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Key Concepts

Efficiency

Efficiency is a measure of how well a system converts input energy into useful work, often expressed as the ratio of the useful energy output to the energy input. It serves as a key performance indicator in both physics and engineering contexts, helping to quantify the losses inherent in any energy transformation process.

Energy Conversion Units

Energy conversion units involve the conversion between different energy measures, such as calories, joules, and horsepower. Mastery of these conversions is essential when comparing energy inputs and outputs across different systems or when performing calculations to maintain consistency in energy analysis.

Mechanical Power

Mechanical power describes the rate at which work is done or energy is transferred over time. Understanding power is crucial in determining the performance and efficiency of engines and other mechanical systems, as it directly relates the operational effectiveness to the energy consumption over specified time intervals.

Conservation of Energy

The conservation of energy principle states that energy cannot be created or destroyed, but only converted from one form to another. This fundamental concept underlies all calculations related to energy transfer and efficiency, ensuring that all energy inputs and outputs are duly accounted for in a system.

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