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: Identify known values

$PE = 1568\ J$, $m=40\ kg$, $g = 9.8\ m/s^{2}$

Step2: Rearrange potential - energy formula

We know $PE=mgh$, so $h=\frac{PE}{mg}$

Step3: Substitute values

$h=\frac{1568}{40\times9.8}$
$h=\frac{1568}{392}$
$h = 4.0\ m$

Answer:

$4.0\ m$