Calculate Force using Different Formulas and Units
Calculate force using Newton's Second Law: F = m × a
Newton's Second Law
F = m × a
Force equals mass times acceleration
Gravitational Force
F = G × (m₁ × m₂) / r²
Newton's Law of Universal Gravitation
Friction Force
F = μ × N
Force of friction equals coefficient times normal force
Spring Force
F = -k × x
Hooke's Law (not implemented in this calculator)
| Unit | Symbol | Equivalent | Usage |
|---|---|---|---|
| Newton | N | 1 kg·m/s² | SI unit, most common |
| Kilonewton | kN | 1,000 N | Engineering, large forces |
| Pound-force | lbf | 4.448 N | US customary system |
| Dyne | dyn | 10⁻⁵ N | CGS system, small forces |
Force is any interaction that, when unopposed, will change the motion of an object.
Our free force calculator helps students, engineers, and physics enthusiasts calculate force using multiple physics formulas and units. Solve for force using Newton's Second Law (F=ma), gravitational force, friction force, spring force, and other fundamental physics equations.
Perfect for physics homework, engineering calculations, scientific research, and educational purposes. Understand the relationship between mass, acceleration, and force with detailed step-by-step solutions.
Calculate force using Newton's Second Law, gravitational force, friction force, spring force, centripetal force, and other physics equations with precise mathematical accuracy.
Work with Newtons (N), pounds-force (lbf), dynes, kilogram-force (kgf), and other force units with automatic conversions between different measurement systems.
Learn physics concepts with detailed step-by-step solutions that show the mathematical derivation and physical principles behind each force calculation.
Apply force calculations to practical scenarios like mechanical engineering, structural analysis, vehicle dynamics, and sports physics with contextual examples.
Used by students, teachers, engineers, and scientists worldwide for accurate force calculations and physics education.
Newton's Second Law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula is F = m × a, where F is force in Newtons, m is mass in kilograms, and a is acceleration in m/s².
Gravitational force between two masses is calculated using Newton's Law of Universal Gravitation: F = G × (m₁ × m₂) / r², where G is the gravitational constant (6.67430 × 10⁻¹¹ N·m²/kg²), m₁ and m₂ are the masses, and r is the distance between their centers.
Mass is the amount of matter in an object (measured in kg) and remains constant. Weight is the force of gravity acting on that mass (measured in N) and varies with location. Weight = mass × gravitational acceleration (W = m × g).
Friction force is calculated as F_friction = μ × F_normal, where μ is the coefficient of friction (static or kinetic) and F_normal is the normal force perpendicular to the surface. The coefficient depends on the materials in contact.
Main force types include: Gravitational force, Electromagnetic force, Strong nuclear force, Weak nuclear force, Normal force, Friction force, Tension force, Spring force, and Applied force.