potential energy is measured in joules (j). near earth, you can calculate an objects gpe with the following…

potential energy is measured in joules (j). near earth, you can calculate an objects gpe with the following formula.\ngravitational potential energy = mass × gravity × height\nor gpe = mgh\nin 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?\ngpe = mgh = 10 kg × 9.8 m/s² × 100 m = 9800 j\nthe rocks gravitational potential energy is 9800 j.\na 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.\npotential energy of a 5 - kg object\n| height (m) | potential energy (j) |\n| ---- | ---- |\n| 2 | |\n| 4 | |\n| 6 | |\n| 8 | |\nplot the data in the graph below. then connect the data points.\npotential energy of a 5 - kg ball

potential energy is measured in joules (j). near earth, you can calculate an objects gpe with the following formula.\ngravitational potential energy = mass × gravity × height\nor gpe = mgh\nin 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?\ngpe = mgh = 10 kg × 9.8 m/s² × 100 m = 9800 j\nthe rocks gravitational potential energy is 9800 j.\na 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.\npotential energy of a 5 - kg object\n| height (m) | potential energy (j) |\n| ---- | ---- |\n| 2 | |\n| 4 | |\n| 6 | |\n| 8 | |\nplot the data in the graph below. then connect the data points.\npotential energy of a 5 - kg ball

Answer

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)
2 98
4 196
6 294
8 392