Force Calculator

Compute force using F = m × a

Calculate

Choose what to calculate

Input Values

Enter known values

Common Examples

Pushing a 50 kg cart with 2 m/s²
m = 50 kg, a = 2 m/s² → F = 100 N
Weight of 70 kg person on Earth
m = 70 kg, a = 9.8 m/s² → F = 686 N
Car (1000 kg) accelerating at 3 m/s²
m = 1000 kg, a = 3 m/s² → F = 3000 N

Result

Calculated force

98.00
Newtons (N)

Newton's Second Law

F = m × a
Force = Mass × Acceleration
F = Force (Newtons)
m = Mass (kilograms)
a = Acceleration (m/s²)
Calculating: F = 10 kg × 9.8 m/s² = 98.00 N

Key Concepts

Newton (N):
1 N = 1 kg⋅m/s² (force to accelerate 1 kg at 1 m/s²)
Weight:
Weight = mass × gravity (9.8 m/s² on Earth)
Net Force:
The sum of all forces acting on an object

About Force Calculator

Newton's Second Law of Motion

This calculator applies Newton's Second Law, which states that the force acting on an object is equal to its mass multiplied by its acceleration. This fundamental principle explains how forces affect motion.

Features

  • Calculate force from mass and acceleration
  • Calculate mass from force and acceleration
  • Calculate acceleration from force and mass
  • Quick gravity preset (9.8 m/s²)
  • Real-world examples
  • Step-by-step formula display
  • High precision results

Understanding Force

Force is a push or pull that can change an object's motion. The Newton (N) is the SI unit of force. A larger force or smaller mass results in greater acceleration. This relationship is fundamental to understanding motion.

Applications

  • Vehicle dynamics and braking systems
  • Rocket propulsion calculations
  • Sports physics (throwing, kicking)
  • Engineering design and safety
  • Collision analysis
  • Weight calculations on different planets

Important Notes

  • Force and acceleration are vectors (have direction)
  • Net force determines acceleration, not individual forces
  • Gravity varies by location (9.8 m/s² is Earth's average)
  • 1 Newton ≈ 0.225 pounds of force