# Force Formula

Force is the push or pull the body undergoes when it interacts with the other. It is expressed in Newtons (N).

**The force F is defined as the rate of change of momentum given by,**

F = $\frac{dp}{dt}$.

Where, dp is the momentum change, dt is the time change.

**In terms of momentum, the force is given by,**

F = $\frac{d (m \vec{v})}{dt}$.

Where, m is the mass and v is the velocity.

**The rate of change of velocity with time is force given as,**

F = m $\frac{dv}{dt}$.

Where, rate of change of velocity with time is acceleration.

Force is product of mass and acceleration.

Hence,

**Force formula is given by,**

F = ma.

Where, m is mass and a is acceleration.