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In a mechanical experiment with an isolated object, only Ekin and Epot of the object change. If...

Question:

In a mechanical experiment with an isolated object, only Ekin and Epot of the object change. If the object accelerates from 5 m/s to 10 m/s, its potential energy has?

Conservation of Energy

Conservation of energy principle denotes that the energy is not destroyable and can be converted from one form to another form of energy, for example, the potential energy of the object can be converted into kinetic energy if the object is allowed to fall down from a certain height.

Answer and Explanation:

Given

The initial velocity of the object is {eq}u=5\ m/s {/eq}

The final velocity of the object is {eq}v=10\ m/s {/eq}

For the change in the kinetic energy of the object:

{eq}\Delta K.E=\frac{1}{2}m(v^2-u^2)\\ \Delta K.E=\frac{1}{2}m(10^2-5^2)\\ \Delta K.E =\frac{1}{2}(m)(100-25)\\ \Delta K.E=37.5\ m {/eq}

Since all the kinetic energy has to be converted into potential energy :

{eq}\Delta P.E=37.5\ m {/eq}

For any value of mass potential energy can be find out.


Learn more about this topic:

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Energy Conservation and Energy Efficiency: Examples and Differences

from Geography 101: Human & Cultural Geography

Chapter 13 / Lesson 9
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