HomeCalculatorsPhysicsForce Calculator (F=ma)
Physics calculator

Force Calculator (F=ma)

Solve Newton’s second law for force, mass, or acceleration. Runs locally in your browser.

Instant result
Result
—

Enter values to calculate.

Inputs—
Mode—
Formula—
Trust summary CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance
Input interpretation
Enter values to calculate.
Result
—
Assurance
Engineering
Declared partition coverage
PASS · 2/2 declared partitions (force, invalid-domain) · Matrix
Known limitations
  • Point-mass Newton second law
  • Core CVP does not include live graph, viewport, or pointer interaction.
Model
Newtonian F=ma.
Scope
Point mass; inertial frame
Verification
Engine tested · Source checked · v1.0.0 · CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
Versions
Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity
1/1 property · digest f6980a1bbb38
Legacy regression
3/3 tests · Production surface contract 4/4
Reference
O1 model · O2 expected_values · O2 numerical_behavior
Interfaces
PASS · UI (SSR) / REST / MCP — ui-ssr is query-result HTML, not a live browser session.
Supplemental domain review
Internal · Pass
Named expert review
Not performed
CVP suite
1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 property · 1/1 cross-interface · 1/1 CVP contract · Manifest
Sources
  • Newton Principia / intro mechanics — second law
  • ISO 80000-4 — Mechanics — Force
Sources
Evidence
1 legacy golden · 1 legacy boundary · legacy regression suite · 1/1 oracle-backed golden · 1/1 invalid · Artifact integrity PASS · CalculatorX physics review
This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓
Semantic contract
PASS
Full verification

Manifest identity, reference classes, interfaces, suite, and production records.

Formulas

Core equations used by this calculator.

ForceF = m · a
iSI units: kg, m/s² → N.

How to use

1

Choose what to solve for

Solve F, a, or m from F = m · a.

2

Enter the two known values

Mass in kg; acceleration in m/s²; force in N.

3

Read the unknown

All inputs used in the product must be consistent SI quantities.

Example calculations

Common configurations with formula and result.

ϟ

2 kg · 3 m/s²

force

2·3
6 N

Force Calculator (F=ma) specification

Version 1.0.0 · Engine tested · Supplemental domain review · Internal · 2026-08-09

Calculation status

Review policy · Evidence · Reviewed by CalculatorX physics review

Definition
F = m·a. Solve for F, a, or m.
What it calculates
Newtonian F=ma.
Inputs
  • mode F|a|m
  • m_kg
  • a_m_s2|F_N
Outputs
  • F_N
  • m_kg
  • a_m_s2
Formula
F=ma
Assumptions
  • Point mass; inertial frame
Units
  • kg, m/s², N
Boundary conditions
  • m≤0 → VALUE_MUST_BE_POSITIVE
Example
m=2 a=3 → F=6 N
Validation cases

1 published on this page · 3/3 tests · Production surface contract 4/4 · View evidence

  • F m=2 a=3 → F=6
Sources
  • Newton Principia / intro mechanics — second law
    Supports: F=ma
  • ISO 80000-4 — Mechanics — Force
    Supports: F = m·a SI definition
Last reviewed
2026-08-09
Reviewed by
CalculatorX physics review
Calculation version
1.0.0

Background

Interpretation and common distinctions.

Solve F = m·a.

Supported and not supported

Supported — Solve F|a|m · API physics.dynamics.force

Not supported — Relativistic dynamics, variable mass rockets

Agent / API notes

Capability id: physics.dynamics.force · tool id: force · pin 1.0.0.

Other calculators in this family: Projectile, Watt ↔ HP .

θ Projectile › P Watt ↔ HP ›
}

Frequently asked questions

Key distinctions behind the calculation.

Can mass be zero?

No. Mass must be > 0; API returns VALUE_MUST_BE_POSITIVE.