Question

1. if an object has a potential energy of 55,555 joules and has a mass of 25 kg, how high off the ground is it located?

$u=mgh$
$55,555 = 25(9.81)h$
$h=15.05m$

Explanation:

Step1: Recall potential energy formula

The gravitational potential energy formula is $PE = mgh$, where $PE$ is potential energy, $m$ is mass, $g$ is acceleration due to gravity ($9.81\ \text{m/s}^2$), and $h$ is height.

Step2: Rearrange for height $h$

Rearrange the formula to solve for $h$:
$h = \frac{PE}{mg}$

Step3: Substitute given values

Substitute $PE = 55555\ \text{J}$, $m = 25\ \text{kg}$, $g = 9.81\ \text{m/s}^2$:
$h = \frac{55555}{25 \times 9.81}$

Step4: Calculate denominator first

$25 \times 9.81 = 245.25$

Step5: Compute final height

$h = \frac{55555}{245.25} \approx 226.5$

Answer:

$\approx 226.5\ \text{m}$