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 potential - energy formula

Given $PE = mgh$, we can solve for $h$ by the formula $h=\frac{PE}{mg}$.

Step2: Identify the values of $PE$, $m$, and $g$

$PE = 1568\ J$, $m = 40\ kg$, and $g = 9.8\ m/s^{2}$ (acceleration due to gravity).

Step3: Substitute the values into the formula

$h=\frac{1568}{40\times9.8}$.
First, calculate $40\times9.8 = 392$.
Then, $h=\frac{1568}{392}=4.0\ m$.

Answer:

B. 4.0 m