Question

A 16.9 kg monkey is swinging on a5.32 m long vine. It starts at rest,with the vine at a 43.0° angle.How much PE does the monkey have?(Unit=J)

Answer 1

First, let's sketch the problem:

In order to find the height h of the monkey, we need to use the sine relation of the angle 43°.

The sine relation is equal to the opposite leg to the angle over the hypotenuse.

So we have:

`\begin{gathered} \sin43°=(h)/(5.32)\\ \\ 0.682=(h)/(5.32)\\ \\ h=5.32\cdot0.682\\ \\ h=3.628\text{ m} \end{gathered}`

Now, to find the potential energy PE, we can use the formula below:

`\begin{gathered} PE=m\cdot g\cdot h\\ \\ PE=16.9\cdot9.8\cdot3.628\\ \\ PE=600.87\text{ J} \end{gathered}`

Therefore the potential energy is 600.87 J.