sunnyhoneyy
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Part III: If a mouse and an elephant both run with the same kinetic energy, can you say which is running faster? Use the space below to thoroughly explain your answer (hint: use the book, slides, and other resources to pull information to support your answer - remember, KE = ½ m*v²).

Answer :

linderson92

Answer:

The mouse runs faster to have the same kinetic energy as the elephant.

Explanation:

Note from the equation given, mass (m) is directly proportional to KE. This means an elephant with more mass will have more KE, therefore, for the mouse to compensate, it has to run faster because its KE is smaller because of its small mass. If both run at the same speed, the elephant would have thousands of times more kinetic energy than the mouse. So the mouse has to run faster so that its speed compansates for its smaller weight.

snehashish65

The mouse will run more faster due to lesser mass as compared to elephant.

Given data:

The mouse and elephant both run with same kinetic energy.

Let KE be the kinetic energy of mouse and KE' be the kinetic energy of elephant. Then as per the given problem,

KE = KE'

And the expression for the kinetic energy is given as,

[tex]E = \dfrac{1}{2}mv^{2}[/tex]

here, m is the mass and v is the speed.

Clearly with constant value of kinetic energy, lesser the mass, more will be the speed and vice versa. So mouse with less mass will have more speed.

Thus, we can conclude that the mouse will run more faster due to lesser mass as compared to elephant.

Learn more about the kinetic energy here:

https://brainly.com/question/17858145

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