Calculate What the potential energy of a 35kg child sitting at the top of a slide that is 3.5m above the ground? What is her kinetic energy if she moves down the slide at a speed of 5.0 m/s? Show your work.

Respuesta :

The two quantites are defined as follows:

[tex]\text{Potential Energy:}\quad E=mgh[/tex]

[tex]\text{Kinetic Energy:}\quad E=\dfrac{1}{2}mv^2[/tex]

So, a child with mass [tex]m=35[/tex]kg sits at a height [tex]h=3.5[/tex]m has potential energy

[tex]E=mgh=35\cdot 9.8\cdot 3.5=1200.5 J[/tex]

Similarly, if the same child moves with speed [tex]v=5[/tex]m/s, he has kinetic energy

[tex]E=\dfrac{1}{2}mv^2=\dfrac{1}{2}\cdot 35\cdot 25=437.5J[/tex]