Question

state Newton's second law and arrive at an equation of force​

Answer 1

NEWTON'S 2ND LAW OF MOTION:

• The direction & magnitude of force is equal to the rate of change of linear momentum with respect to time.

So, mathematically (using calculus) we can say:

$F = \dfrac{dL}{dt}$

$\implies F = \dfrac{d(m \times v)}{dt}$

• Considering mass (m) to be constant:

$\implies F = m \times \dfrac{d v}{dt}$

• Now, rate of change of velocity with respect to time can be written as acceleration.

$\implies F = m \times a$

[Hence derived]