How would you arrive at mathematical formula to measure force using 2nd law of motion?

Answer 1

Consider a body of mass m. It initially moves with velocity u and accelerates at a constant rate a. It attains a final velocity v after timet. This acceleration is caused by force F. Now, Newton's second law of motion can be mathematically represented as

You know that,

Using this, we obtain

F = ma = Mass � Acceleration

Thus, we can re-state Newton's second law of motion

Answer 2

Newton's second law of motion can be summed up by the formula F=ma, though Newton originally phrased it in terms of momentum rather than acceleration. Still, it comes out to mean the same thing.

Answer 3

If you use Newton's Second law to measure force, you don't need to derive any additional mathematical formula.

Answer 4

F=ma, Force is mass times acceleration.