Answered

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How do you think the energy at the top of the ramp will compare with the energy at the bottom of the ramp? Why do you think this?

Sagot :

We are asked to compare the energy of a mass at the top of a ramp with the energy at the bottom:

The energy at the top is the gravitational potential energy and is given by:

[tex]U=mgh[/tex]

Where:

[tex]\begin{gathered} m=\text{ mass} \\ g=\text{ acceleration of gravity} \\ h=\text{ height} \end{gathered}[/tex]

The energy at the bottom is kinetic energy and is given by:

[tex]K=\frac{1}{2}mv^2[/tex]

Where:

[tex]v=\text{ velocity}[/tex]

Due to the principle of conservation of energy, the energy at the top is equal to the energy at the bottom is no energy is lost. Therefore, we have:

[tex]U=K[/tex]

Or:

[tex]mgh=\frac{1}{2}mv^2[/tex]

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