Question

How would you arrive at a mathematical formula to measure force using the second law of motion?

Answer 1

Answer:

Explanation:

Take an object of mass (m) to move along a straight line with initial velocity (u) and uniformly accelerates to final velocity (v) in time (t)

so the initial momentum of the body will be=mu

and final momentum will be =mv

the change in momentum= mv-mu

=m(v-u)

rate of change in momentum= m(v-u)/t

rate of change in momentum is directly proportional to the force (F) applied

F ∝ m(v-u)/t

to remove the proportion lets take constant value k

F= k m(v-u)/t

now v-u/t is the formula for acceleration(rate of change in velocity

so substituting acceleration we get

F= kma