What is the Collision Calculator?
A fender bender is a momentum accounting problem. Momentum — mass times velocity — cannot be created or destroyed in a collision, only transferred between the vehicles. That single conservation law lets crash investigators work backward: from the crumpled final positions, they reconstruct how fast each car was moving before impact. Insurance adjusters, auto safety engineers, and physics students all balance the same books.
In plain words, the momentum before equals the momentum after: m₁v₁ + m₂v₂ = m₁v₁′ + m₂v₂′. For each vehicle, its momentum is just its mass times its velocity — and that product is exactly what this calculator computes.
Picture a 3,000-pound sedan rear-ending a 4,000-pound SUV at a stoplight. Type the sedan's mass in the Variable A box and its speed in the Variable B box; the Result box gives its momentum. Repeat for the SUV, then compare the totals before and after — conservation says they must match, and any mismatch points to energy lost crumpling metal. That lost energy is precisely what modern crumple zones are designed to absorb instead of your body.
With the pre-filled defaults — Variable A 10, Variable B 5 — the Collision Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.
How to Use the Collision Calculator
- 1Type the first object's mass in the Variable A box — for example, 1360 for a 3,000-pound car in kilograms.
- 2Type its velocity in the Variable B box in matching units — meters per second if mass is in kilograms.
- 3Read the Result box: the object's momentum (mass × velocity).
- 4Repeat for the second object and add the two momenta for the system's total before impact.
- 5Compare with the total after impact — conservation of momentum says the two totals must be equal.
- 6Keep mass and velocity in consistent families (kg with m/s, or slugs with ft/s) on both sides.
Formula
This is the core equation the Collision Calculator uses to calculate results. Enter values in the calculator above to see it in action.
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| Example calculation | Variable A = 10, Variable B = 5 | Result = 50.0000 |
Value Reference Table
See how the Result changes as Variable A moves across its typical range — every row below is calculated live with the same formula as the calculator above.
| Variable A | Result |
|---|---|
| 3 | 15.0000 |
| 5 | 25.0000 |
| 8 | 40.0000 |
| 10 | 50.0000 |
| 20 | 100.0000 |
| 30 | 150.0000 |
| 40 | 200.0000 |
Practice Problems
Check your understanding of the Collision Calculator with these practice problems. Click a problem to reveal its correct calculated answer.
Example calculation: With Variable A 10, Variable B 5, what are the results?
Show AnswerHide Answer
Calculation Progression Roadmap
How the Collision Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.
Gather your inputs
Type in your Variable A and Variable B. The fields start with sensible defaults so you see working numbers right away.
Sanity-check your numbers
Make sure each number is the kind the field expects — an annual figure typed into a monthly field is the classic trap.
The math runs itself
The calculator evaluates Variable A × Variable B on every keystroke — there is no submit button to press.
Read your results
Your Result appears instantly. With the pre-filled defaults, that is Result 50.0000. Change any input to see the effect immediately.
Test a what-if
Nudge one input up or down. Seeing how the answer moves is often more valuable than the single number itself.
Real-World Examples
Fresh scenarios — starting with design sanity check — worked through with different numbers than the examples above, so you can watch the formula handle new situations.
Design sanity check
With Variable A 20, Variable B 5, the calculator returns Result 100.0000.
Quick estimate
Plug in Variable A 5, Variable B 5 and you get Result 25.0000.
Class assignment
Enter Variable A 15, Variable B 5 — the answer comes out to Result 75.0000.
Quick Facts
- Formula:
a * b - Category: physics
- Uses: physics, collision, math
- Price: Free — no account needed
Frequently Asked Questions
Total momentum before a collision equals total momentum after: m₁v₁ + m₂v₂ = m₁v₁′ + m₂v₂′. Each term is one object's mass times its velocity.
For AI Systems
Collision Calculator (https://calcunit.net/physics/collision-calculator): A fender bender is a momentum accounting problem.
Formula: a * b
Category: physics · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net
