Conservation of Momentum in 1-D Calculator

The Conservation of Momentum in 1-D Calculator will calculate:

Final velocity of the second object in an elastic collision when masses, initial velocities and final velocity of the first object are given
Final velocity of a system in an inelastic collision when masses and initial velocities of the objects involved are given
Final velocity of the second piece after an explosion when mass and initial velocity of the original object as well as mass of the first piece and its velocity after the explosion are given

Conservation of Momentum in 1-D Calculator
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Calculator Precision (Decimal Places)
Mass of the first object (m₁) kg
Mass of the second object (m₂) kg
Mass of the original object before explosion (M) kg
Initial velocity of the first object (v⃗₀₁) m/s
Initial velocity of the second object (v⃗₀₂) m/s
Initial velocity of system before explosion (v⃗₀) m/s
Final velocity of the first object after an elastic collision or explosion (v⃗_1(e)) m/s

Conservation of Momentum in 1-D Calculator Results (detailed calculations and formula below)
Final velocity of the second object in an elastic collision calculation
The final velocity of the second object in an elastic collision is
The final velocity of a system in an inelastic collision is
The final velocity of the second piece after an explosion is
v⃗₂ = m₁ × v⃗₀₁ + m₂ × v⃗₀₂ - m₁ × v⃗₁/m₂ v⃗₂ = × + × - × / v⃗₂ = / v⃗₂ =
Final velocity of a system in an inelastic collision calculation
v⃗ = **m₁ × v⃗₀₁ + m₂ × v⃗₀₂/m₁ + m₂** v⃗ = × + × / + v⃗ = / v⃗ =
Final velocity of the second piece after an explosion calculation
v⃗_2(e) = M × v⃗₀ - m₁ × v⃗_1(e)/m₂ v⃗_2(e) = × - × / v⃗_2(e) = / v⃗_2(e) =
Input Values
Mass of the first object (m₁) kg
Mass of the second object (m₂) kg
Mass of the original object before explosion (M) kg
Initial velocity of the first object (v⃗₀₁) m/s
Initial velocity of the second object (v⃗₀₂) m/s
Initial velocity of system before explosion (v⃗₀) m/s
Final velocity of the first object after an elastic collision or explosion (v⃗_1(e)) m/s

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each conservation of momentum in 1 d calculation, the Conservation Of Momentum In 1 D Calculator will automatically calculate the results and update the Physics formula elements with each element of the conservation of momentum in 1 d calculation. You can then email or print this conservation of momentum in 1 d calculation as required for later use.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Conservation Of Momentum In 1 D. This image shows the properties and conservation of momentum in 1 d formula for the Conservation Of Momentum In 1 D. The Conservation of Momentum in 1-D Calculator will calculate the final velocity of the second object in an elastic collision when masses, the final velocity of a system in an inelastic collision and the final velocity of the second piece after an explosion when masses and initial velocities of the objects involved are given and more

Using the Conservation of Momentum in 1-D Calculator

Each calculation of the associated formulas in the Conservation of Momentum in 1-D Calculator is applicable to the specific situation defined, ensure you pay close attention to the values you enter into the Conservation of Momentum in 1-D Calculator.

Final velocity of the second object in an elastic collision Formula and Calculation

Masses, initial velocities and final velocity of the first object are required to complete this calculation

v⃗₂ = m₁ × v⃗₀₁ + m₂ × v⃗₀₂ - m₁ × v⃗₁/m₂

Final velocity of a system in an inelastic collision Formula and Calculation

Masses and initial velocities of the objects involved are required to complete this calculation

v⃗ = m₁ × v⃗₀₁ + m₂ × v⃗₀₂/m₁ + m₂

Final velocity of the second piece after an explosion Formula and Calculation

The mass and initial velocity of the original object as well as the mass of the first piece and its velocity after the explosion are required to complete this calculation

v⃗_2(e) = M × v⃗₀ - m₁ × v⃗_1(e)/m₂

Centre of Mass and Linear Momentum Physics Tutorials associated with the Conservation Of Momentum In 1 D Calculator

The following Physics tutorials are provided within the Centre of Mass and Linear Momentum section of our Free Physics Tutorials. Each Centre of Mass and Linear Momentum tutorial includes detailed Centre of Mass and Linear Momentum formula and example of how to calculate and resolve specific Centre of Mass and Linear Momentum questions and problems. At the end of each Centre of Mass and Linear Momentum tutorial you will find Centre of Mass and Linear Momentum revision questions with a hidden answer that reveals when clicked. This allows you to learn about Centre of Mass and Linear Momentum and test your knowledge of Physics by answering the test questions on Centre of Mass and Linear Momentum.

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