Give the quantitative expression of force.
Step1: Newton's second law
Step2: Formula used
Consider a body with mass that moves at velocity . As a result, the body's momentum is given by,
Step3: Relation between acceleration, mass, and force
We now know that the rate of change in momentum of a body is equal to the force applied to the body thanks to Newton's second law of motion. As a result, the force F equals,
The acceleration of a body is defined as the rate of change of velocity i.e.
Since mass does not change with the time equation (i) can be written as,
Hence the quantitative expression of force is