According to Newton’s Second Law, how are force and mass related?

1 answer

According to Newton's Second Law of Motion, the relationship between force, mass, and acceleration can be expressed by the formula:

\[ F = m \cdot a \]

Where:

  • \( F \) is the net force applied to an object (measured in newtons, N),
  • \( m \) is the mass of the object (measured in kilograms, kg),
  • \( a \) is the acceleration produced by the force (measured in meters per second squared, m/s²).

From this relationship, it can be inferred that:

  1. The force applied to an object is directly proportional to the mass of the object and the acceleration it experiences. This means that for a given mass, increasing the applied force will result in an increase in acceleration.
  2. For a constant force, an increase in mass will result in a decrease in acceleration, meaning heavier objects accelerate less than lighter ones when the same force is applied.

In summary, force and mass are related in such a way that the acceleration of an object is dependent on both the net force acting on it and its mass.