Question

potential energy is measured in joules (j). near earth, you can calculate an objects gpe with the following formula.
gravitational potential energy = mass × gravity × height
or gpe = mgh
in this formula, mass (m) is an objects mass in kilograms. gravity (g) is the objects acceleration due to gravity, and height (h) is the objects height in meters above the ground. suppose the rock at the edge of a cliff has a mass of 10 kg, and its height, the distance to the cliff bottom, is 100 m. acceleration due to gravity near earths surface is 9.8 m/s². what is the gravitational potential energy of the rock?
gpe = mgh = 10 kg × 9.8 m/s² × 100 m = 9800 j
the rocks gravitational potential energy is 9800 j.
a 5 - kilogram bowling ball is raised into the air. first, it is raised to a height of 2 meters, then 4 meters, then 6 meters, and finally 8 meters. calculate the amount of potential energy the ball has at each height and complete the table below.
potential energy of a 5 - kg object

height (m)	potential energy (j)
4
6
8

plot the data in the graph below. then connect the data points.
potential energy of a 5 - kg ball

Explanation:

Step1: Recall the GPE formula

$GPE = mgh$, where $m = 5$ kg, $g=9.8$ m/s².

Step2: Calculate GPE for height $h = 2$ m

$GPE=5\times9.8\times2=98$ J

Step3: Calculate GPE for height $h = 4$ m

$GPE=5\times9.8\times4 = 196$ J

Step4: Calculate GPE for height $h = 6$ m

$GPE=5\times9.8\times6=294$ J

Step5: Calculate GPE for height $h = 8$ m

$GPE=5\times9.8\times8 = 392$ J

Answer:

Height (m)	Potential Energy (J)
4	196
6	294
8	392