Concept explainers
Consider a mouse and dog running along a road have the same kinetic energy. Which has the average greater speed? (Use the equation for kinetic energy to guide your thinking.)
The greater speed between the mouse and dog.
Answer to Problem 8TE
The mouse has the greater average speed than the average speed of the dog.
Explanation of Solution
Write the expression for the kinetic energy.
Here,
The above expression shows that the kinetic energy is dependent on the mass and square of the velocity of the object. If the kinetic energy of two different objects are compared, then the speed of lighter object is more than the speed of heavier object.
The mass of the dog is more than the mass of the mouse, so the mouse is lighter than the mass of the dog. The lighter mass can move fast, so the average speed of the mouse is greater.
Conclusion:
Therefore, the mouse has the greater average speed than the average speed of the dog.
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