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What is the formula for force?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

The formula for force is given by Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. Mathematically, this relationship is expressed as:

F=m⋅a

where:

  • �F is the force applied to the object (measured in Newtons, N),
  • �m is the mass of the object (measured in kilograms, kg),
  • �a is the acceleration of the object (measured in meters per second squared, m/s²).

In this formula, force is directly proportional to both mass and acceleration. This means that a greater force is required to accelerate a more massive object, and the force needed to produce a certain acceleration is inversely proportional to the mass of the object. The direction of the force is in the same direction as the acceleration.

It's important to note that this formula holds true for objects experiencing constant acceleration. If the acceleration is not constant, calculus-based approaches may be required to analyze the situation.

General · Class 12