Question

$\mathrm{A} 1000 \mathrm{kg}$ sports car accelerates from 0 to $30 \mathrm{m} / \mathrm{s}$ in $10 \mathrm{s}$. What is the average power of the engine?

   $\mathrm{A} 1000 \mathrm{kg}$ sports car accelerates from 0 to $30 \mathrm{m} / \mathrm{s}$ in $10 \mathrm{s}$. What is the average power of the engine?

College Physics: A Strategic Approach

College Physics: A Strategic Approach

Randall D. Knight,… 3rd Edition

Chapter 10, Problem 47

Instant Answer

Solved by Expert Khoobchandra Agrawal

03/11/2021

Step 1

The formula for kinetic energy is $\frac{1}{2}mv^2$, where $m$ is the mass and $v$ is the velocity. The change in kinetic energy is the final kinetic energy minus the initial kinetic energy. Show more…

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$\mathrm{A} 1000 \mathrm{kg}$ sports car accelerates from 0 to $30 \mathrm{m} / \mathrm{s}$ in $10 \mathrm{s}$. What is the average power of the engine?

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Key Concepts

Kinetic Energy

Kinetic energy is the energy that an object possesses due to its motion. It is calculated using the formula KE = ½ m v², where m represents the mass of the object and v represents its velocity. This concept is crucial for understanding how the energy of a moving object increases as its speed increases.

Work-Energy Principle

The work-energy principle states that the work done on an object is equal to the change in its kinetic energy. This principle connects the energy imparted to an object, such as by an engine or other force, to its resulting motion, allowing us to analyze energy transfer during acceleration.

Power

Power is defined as the rate at which work is done or energy is transferred over time. It is calculated by dividing the total work or energy change by the time taken. In contexts like engine performance, power indicates how quickly the engine can convert energy into motion, making it a vital measure in dynamics and engineering.

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