Enter any two inputs and click on Calculate button
How to use this Momentum Calculator 🤔
There are input fields for Mass \((m)\), Velocity \((v)\), and Momentum \((P)\). Enter any two inputs and click on Calculate button.
The calculator uses the \( P = m \cdot v \) 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 Momentum?
Momentum is a measure of the motion of an object and how difficult it is to stop. It depends on both the mass of the object and its velocity. The greater the mass or the faster the object is moving, the more momentum it has.
Calculating Momentum
Momentum (P) can be calculated using the formula:
\( P = m \cdot v \).
In this formula, the parameters are defined as follows:
m: The mass of the object, or how much matter it contains.
v: The velocity of the object, or the speed at which it is moving in a specific direction.
Input and Output Combinations of the Momentum Calculator
Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.
{
"topic": "momentum",
"input_types": [
"float",
"float",
"float"
],
"input_labels": [
"m",
"v",
"P"
],
"input_descriptions": [
"Mass",
"Velocity",
"Momentum"
],
"input_units": [
"kg",
"m/s",
"kg.m/s"
],
"input_values": [
"",
"",
""
],
"formula_mathjax": "\\( P = m \\cdot v \\)",
"input_pre_msg": "Enter any two inputs and click on Calculate button",
"type": "Calculate",
"title": "Momentum Calculator",
"description": "Calculate the momentum of an object using our Momentum Calculator by providing the inputs: mass, and velocity. You can also given any two parameters, and find the third parameter.",
"category": "Kinematics",
"template": "physics",
"formulas": [
{
"parameters": [
"m",
"v"
],
"outputs": [
{
"label": "P",
"formula": " m * v ",
"formula_mathjax": "\\( m \\cdot v \\)"
}
],
"example_heading": "What is the momentum of an object with mass of _m_ moving with a velocity of _v_ ?",
"examples": [
{
"m": 5,
"v": 2,
"P": "10"
},
{
"m": 1,
"v": 100,
"P": "100"
}
]
},
{
"parameters": [
"P",
"v"
],
"outputs": [
{
"label": "m",
"formula": " P / v ",
"formula_mathjax": "\\( \\frac{ P }{ v } \\)"
}
],
"example_heading": "What is the mass of an object that is moving with a velocity of _v_, and a momentum of _P_ ?",
"examples": [
{
"P": 5,
"v": 2,
"m": "2.5"
}
]
},
{
"parameters": [
"P",
"m"
],
"outputs": [
{
"label": "v",
"formula": " P / m ",
"formula_mathjax": "\\( \\frac{ P }{ m } \\)"
}
],
"example_heading": "What is the velocity of an object whose mass is _m_, and moving with a momentum of _P_ ?",
"examples": [
{
"P": 61,
"m": 8,
"v": "7.625"
}
]
}
],
"content": "<h2>What is Momentum?</h2><p>Momentum is a measure of the motion of an object and how difficult it is to stop. It depends on both the mass of the object and its velocity. The greater the mass or the faster the object is moving, the more momentum it has.</p><h2>Calculating Momentum</h2><p>Momentum (<strong>P</strong>) can be calculated using the formula:</p><p class=\"formula_highlite\">\\( P = m \\cdot v \\).</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.</li><li><strong>v</strong>: The velocity of the object, or the speed at which it is moving in a specific direction.</li></ul><br><h2>Input and Output Combinations of the Momentum 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\">v</span> Velocity</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\">Momentum</span><span class=\"output\">\\(P = \\)\\( m \\cdot v \\)</span></li></ul><a class=\"button\" href=\"#example_1\">2 Examples</a></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\">P</span> Momentum</li><li><span class=\"input\">v</span> Velocity</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{ P }{ v } \\)</span></li></ul><a class=\"button\" href=\"#example_3\">1 Example</a></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\">P</span> Momentum</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\">Velocity</span><span class=\"output\">\\(v = \\)\\( \\frac{ P }{ m } \\)</span></li></ul><a class=\"button\" href=\"#example_4\">1 Example</a></div></div><br><br><h2>Examples</h2>\n <div id=\"example_1\" class=\"example\">\n <span class=\"example_n\">1</span>\n <h3 class=\"question\">\n What is the momentum of an object with mass of <strong>5 kg</strong> moving with a velocity of <strong>2 m/s</strong> ?\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>Mass, m = 5 kg</li><li>Velocity, v = 2 m/s</li></ul>\n <p>Calculating momentum (P)...</p><p class=\"step\">\\( P = \\) \\( m \\cdot v \\)</p><p class=\"step\">\\( P = \\) \\(5\\cdot2\\)</p><p class=\"step answer\">\\( P = \\) 10 kg.m/s</p>\n </div>\n \n <div id=\"example_2\" class=\"example\">\n <span class=\"example_n\">2</span>\n <h3 class=\"question\">\n What is the momentum of an object with mass of <strong>1 kg</strong> moving with a velocity of <strong>100 m/s</strong> ?\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>Mass, m = 1 kg</li><li>Velocity, v = 100 m/s</li></ul>\n <p>Calculating momentum (P)...</p><p class=\"step\">\\( P = \\) \\( m \\cdot v \\)</p><p class=\"step\">\\( P = \\) \\(1\\cdot100\\)</p><p class=\"step answer\">\\( P = \\) 100 kg.m/s</p>\n </div>\n \n <div id=\"example_3\" class=\"example\">\n <span class=\"example_n\">3</span>\n <h3 class=\"question\">\n What is the mass of an object that is moving with a velocity of <strong>2 m/s</strong>, and a momentum of <strong>5 kg.m/s</strong> ?\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>Momentum, P = 5 kg.m/s</li><li>Velocity, v = 2 m/s</li></ul>\n <p>Calculating mass (m)...</p><p class=\"step\">\\( m = \\) \\( \\frac{ P }{ v } \\)</p><p class=\"step\">\\( m = \\) \\( \\frac{5}{2} \\)</p><p class=\"step answer\">\\( m = \\) 2.5 kg</p>\n </div>\n \n <div id=\"example_4\" class=\"example\">\n <span class=\"example_n\">4</span>\n <h3 class=\"question\">\n What is the velocity of an object whose mass is <strong>8 kg</strong>, and moving with a momentum of <strong>61 kg.m/s</strong> ?\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>Momentum, P = 61 kg.m/s</li><li>Mass, m = 8 kg</li></ul>\n <p>Calculating velocity (v)...</p><p class=\"step\">\\( v = \\) \\( \\frac{ P }{ m } \\)</p><p class=\"step\">\\( v = \\) \\( \\frac{61}{8} \\)</p><p class=\"step answer\">\\( v = \\) 7.625 m/s</p>\n </div>\n <br><h2>Input and Output Combinations of the Momentum 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\">v</span> Velocity</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\">Momentum</span><span class=\"output\">\\(P = \\)\\( m \\cdot v \\)</span></li></ul><a class=\"button\" href=\"#example_1\">2 Examples</a></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\">P</span> Momentum</li><li><span class=\"input\">v</span> Velocity</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{ P }{ v } \\)</span></li></ul><a class=\"button\" href=\"#example_3\">1 Example</a></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\">P</span> Momentum</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\">Velocity</span><span class=\"output\">\\(v = \\)\\( \\frac{ P }{ m } \\)</span></li></ul><a class=\"button\" href=\"#example_4\">1 Example</a></div></div><br><br><h2>Examples</h2>\n <div id=\"example_1\" class=\"example\">\n <span class=\"example_n\">1</span>\n <h3 class=\"question\">\n What is the momentum of an object with mass of <strong>5 kg</strong> moving with a velocity of <strong>2 m/s</strong> ?\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>Mass, m = 5 kg</li><li>Velocity, v = 2 m/s</li></ul>\n <p>Calculating momentum (P)...</p><p class=\"step\">\\( P = \\) \\( m \\cdot v \\)</p><p class=\"step\">\\( P = \\) \\(5\\cdot2\\)</p><p class=\"step answer\">\\( P = \\) 10 kg.m/s</p>\n </div>\n \n <div id=\"example_2\" class=\"example\">\n <span class=\"example_n\">2</span>\n <h3 class=\"question\">\n What is the momentum of an object with mass of <strong>1 kg</strong> moving with a velocity of <strong>100 m/s</strong> ?\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>Mass, m = 1 kg</li><li>Velocity, v = 100 m/s</li></ul>\n <p>Calculating momentum (P)...</p><p class=\"step\">\\( P = \\) \\( m \\cdot v \\)</p><p class=\"step\">\\( P = \\) \\(1\\cdot100\\)</p><p class=\"step answer\">\\( P = \\) 100 kg.m/s</p>\n </div>\n \n <div id=\"example_3\" class=\"example\">\n <span class=\"example_n\">3</span>\n <h3 class=\"question\">\n What is the mass of an object that is moving with a velocity of <strong>2 m/s</strong>, and a momentum of <strong>5 kg.m/s</strong> ?\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>Momentum, P = 5 kg.m/s</li><li>Velocity, v = 2 m/s</li></ul>\n <p>Calculating mass (m)...</p><p class=\"step\">\\( m = \\) \\( \\frac{ P }{ v } \\)</p><p class=\"step\">\\( m = \\) \\( \\frac{5}{2} \\)</p><p class=\"step answer\">\\( m = \\) 2.5 kg</p>\n </div>\n \n <div id=\"example_4\" class=\"example\">\n <span class=\"example_n\">4</span>\n <h3 class=\"question\">\n What is the velocity of an object whose mass is <strong>8 kg</strong>, and moving with a momentum of <strong>61 kg.m/s</strong> ?\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>Momentum, P = 61 kg.m/s</li><li>Mass, m = 8 kg</li></ul>\n <p>Calculating velocity (v)...</p><p class=\"step\">\\( v = \\) \\( \\frac{ P }{ m } \\)</p><p class=\"step\">\\( v = \\) \\( \\frac{61}{8} \\)</p><p class=\"step answer\">\\( v = \\) 7.625 m/s</p>\n </div>\n "
}
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