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One Dimensional Elastic Collision Calculator

Use this online one dimensional elastic collision calculator with labeled inputs and a worked example. v₁ = ((m₁−m₂)u₁+2m₂u₂)/(m₁+m₂); swap indices for v₂.

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elastic collision solver online

Use one dimensional elastic collision calculator online with the physical quantities shown below. Perfectly elastic collinear collision of two isolated bodies.

How to use it

Enter First mass (kg). Set Second mass (kg), First initial velocity (m/s), Second initial velocity (m/s). Select Calculate, check the result units, then copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
First mass (kg)Main input. Decimal or scientific notation. Positive values only. 1
Second mass (kg)Option. Decimal or scientific notation. Positive values only. 1
First initial velocity (m/s)Option. Decimal or scientific notation. 4
Second initial velocity (m/s)Option. Decimal or scientific notation. 0

Calculation method

v₁ = ((m₁−m₂)u₁+2m₂u₂)/(m₁+m₂); swap indices for v₂

Worked examples

Worked case for one dimensional elastic collision calculator. Perfectly elastic collinear collision of two isolated bodies.

One Dimensional Elastic Collision Calculator — example with explicit inputs

Settings: Second mass (kg): 1; First initial velocity (m/s): 4; Second initial velocity (m/s): 0

Input:

1

Expected result for the example input and options:

Output:

{
  "final_velocity1_m_s": 0,
  "final_velocity2_m_s": 4
}

Limitations and common mistakes

  • Perfectly elastic collinear collision of two isolated bodies.
  • Match every input to its displayed unit; scientific notation such as 1e-6 is accepted.
  • This is the documented idealized model; real systems may require additional effects and measurement uncertainty.

Frequently asked questions

How can I use elastic collision solver online?

Enter First mass (kg). Set Second mass (kg), First initial velocity (m/s), Second initial velocity (m/s). Select Calculate, check the result units, then copy or download the JSON result.

Which model does One Dimensional Elastic Collision Calculator use?

v₁ = ((m₁−m₂)u₁+2m₂u₂)/(m₁+m₂); swap indices for v₂. Perfectly elastic collinear collision of two isolated bodies.

Technical references

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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