Question

a 40 kg dog is sitting on top of a hillside and has a potential energy of 1,568 j. what is the height of the hillside? (formula: $pe = mgh$) 3.9 m 4.0 m 39.2 m 40.0 m

Explanation:

Step1: Rearrange the formula for height

Given \(PE = mgh\), we can solve for \(h\) by \(h=\frac{PE}{mg}\).

Step2: Substitute the values

We know \(PE = 1568\space J\), \(m = 40\space kg\), and \(g = 9.8\space m/s^{2}\).
Substitute into the formula: \(h=\frac{1568}{40\times9.8}\).
First calculate \(40\times9.8=392\).
Then \(h=\frac{1568}{392}\).

Step3: Calculate the value of \(h\)

\(\frac{1568}{392}=4\).

Answer:

B. \(4.0\space m\)