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Newton’s Third-Law Force Pair Calculator — result sheet
Resolve one interaction force into components and return the equal, opposite force on the other body without confusing the pair with forces on one body.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Action vector = F(cos θ, sin θ); reaction vector = −action vector; both magnitudes are F and the pair acts on different bodies.
The calculator turns a force magnitude and direction into a two-dimensional action vector and then reverses both components for the reaction. It emphasizes the system boundary: equal and opposite forces do not cancel when they act on different bodies.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Action-force magnitude — N; minimum 1.0E-6; maximum 1000000000
- Action-force direction — degrees; minimum -360000; maximum 360000
Worked example
| Input | Value |
|---|---|
| Action-force magnitude | 120 |
| Action-force direction | 30 |
The action is (103.923, 60) N; the reaction is (−103.923, −60) N; both magnitudes are 120 N.
Assumptions and limits
- The entered force is a two-dimensional vector measured from the positive x-axis.
- The angle is in degrees and the force magnitude is nonnegative.
- The reaction is the ideal Newton’s-third-law partner for the same interaction.
- The two bodies and the contact or interaction are not identified by the arithmetic.
- Other forces, acceleration, mass, friction, and equilibrium are not inferred.
- The result does not decide whether a free-body diagram has included every force.
- Use a separate dynamics or statics model when predicting motion, stress, or safety.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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