Enter any three inputs and click on Calculate button
How to use this Potential Energy Calculator 🤔
There are input fields for Mass \((m)\), Gravitational Acceleration Constant \((g)\), Height \((h)\), and Potential Energy \((PE)\). Enter any three inputs and click on Calculate button.
The calculator uses the \( PE = m \cdot g \cdot h \) formula, substitues given values, and calcuates the missing value.
The missing value is calcuated and displayed in the input field. Also, the caculation is displayed under the input section.
What is Potential Energy?
Potential energy is the energy an object possesses because of its position or height. When an object is lifted off the ground, it stores energy due to the gravitational force acting on it. The higher the object, the more potential energy it has.
Calculating Potential Energy
Potential energy (PE) can be calculated using the formula:
\( PE = m \cdot g \cdot h \).
In this formula, the parameters are defined as follows:
m: The mass of the object, or how much matter it contains, measured in kilograms (kg).
g: The acceleration due to gravity, typically taken as 9.8 m/s².
h: The height of the object above the ground, measured in meters (m).
Input and Output Combinations of the Potential Energy Calculator
Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.
{
"topic": "potential-energy",
"input_types": [
"float",
"float",
"float",
"float"
],
"input_labels": [
"m",
"g",
"h",
"PE"
],
"input_descriptions": [
"Mass",
"Gravitational<br>Acceleration<br>Constant",
"Height",
"Potential Energy"
],
"input_units": [
"kg",
"m/s<sup>2</sup>",
"m",
"J"
],
"input_values": [
"",
"9.81",
"",
""
],
"formula_mathjax": "\\( PE = m \\cdot g \\cdot h \\)",
"input_pre_msg": "Enter any three inputs and click on Calculate button",
"type": "Calculate",
"title": "Potential Energy Calculator",
"description": "Calculate the gravitational potential energy of an object using our Potential Energy Calculator. Simply input the mass, height, and gravitational acceleration to get instant results. Ideal for students, teachers, and physics enthusiasts.",
"category": "Kinematics",
"template": "physics",
"formulas": [
{
"parameters": [
"m",
"h"
],
"outputs": [
{
"label": "PE",
"formula": " m * g * h ",
"formula_mathjax": "\\( m \\cdot g \\cdot h \\)",
"formula_mathjax_sub": "\\( m \\times g \\times h \\)"
}
]
},
{
"parameters": [
"PE",
"h"
],
"outputs": [
{
"label": "m",
"formula": " PE / ( g * h ) ",
"formula_mathjax": "\\( \\frac{ PE }{ g \\cdot h } \\)",
"formula_mathjax_sub": "\\( \\frac{ PE }{ g \\times h } \\)"
}
]
},
{
"parameters": [
"PE",
"m"
],
"outputs": [
{
"label": "h",
"formula": " PE / ( m * g ) ",
"formula_mathjax": "\\( \\frac{ PE }{ m \\cdot g } \\)",
"formula_mathjax_sub": "\\( \\frac{ PE }{ m \\times g } \\)"
}
]
}
],
"content": "<h2>What is Potential Energy?</h2><p>Potential energy is the energy an object possesses because of its position or height. When an object is lifted off the ground, it stores energy due to the gravitational force acting on it. The higher the object, the more potential energy it has.</p><h2>Calculating Potential Energy</h2><p>Potential energy (<strong>PE</strong>) can be calculated using the formula:</p><p class=\"formula_highlite\">\\( PE = m \\cdot g \\cdot h \\).</p><p>In this formula, the parameters are defined as follows:</p><ul><li><strong>m</strong>: The mass of the object, or how much matter it contains, measured in kilograms (kg).</li><li><strong>g</strong>: The acceleration due to gravity, typically taken as 9.8 m/s².</li><li><strong>h</strong>: The height of the object above the ground, measured in meters (m).</li></ul><br><h2>Input and Output Combinations of the Potential Energy Calculator</h2><p>Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.</p><div class=\"formula_sets\"><div class=\"formula_set set_1\"><span class=\"heading_side\">Calculator Inputs</span><span class=\"set_n\">Set #1</span><ul class=\"given\"><li><span class=\"input\">m</span> Mass</li><li><span class=\"input\">h</span> Height</li></ul><p>For these given inputs,</p><span class=\"heading_side\">Outputs, Formulas</span><p>We calculate the following outputs:</p><ul class=\"find\"><li><span class=\"output_label\">Potential Energy</span><span class=\"output\">\\(PE = \\)\\( m \\cdot g \\cdot h \\)</span></li></ul></div><div class=\"formula_set set_2\"><span class=\"heading_side\">Calculator Inputs</span><span class=\"set_n\">Set #2</span><ul class=\"given\"><li><span class=\"input\">PE</span> Potential Energy</li><li><span class=\"input\">h</span> Height</li></ul><p>For these given inputs,</p><span class=\"heading_side\">Outputs, Formulas</span><p>We calculate the following outputs:</p><ul class=\"find\"><li><span class=\"output_label\">Mass</span><span class=\"output\">\\(m = \\)\\( \\frac{ PE }{ g \\cdot h } \\)</span></li></ul></div><div class=\"formula_set set_3\"><span class=\"heading_side\">Calculator Inputs</span><span class=\"set_n\">Set #3</span><ul class=\"given\"><li><span class=\"input\">PE</span> Potential Energy</li><li><span class=\"input\">m</span> Mass</li></ul><p>For these given inputs,</p><span class=\"heading_side\">Outputs, Formulas</span><p>We calculate the following outputs:</p><ul class=\"find\"><li><span class=\"output_label\">Height</span><span class=\"output\">\\(h = \\)\\( \\frac{ PE }{ m \\cdot g } \\)</span></li></ul></div></div><br><br><h2>Examples</h2>"
}
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