Question

define force ?derive a mathematical expression from it ​

Answer 1

Answer:

pls mark as brainlest god bless you

Explanation:

Newton's second law states that the net force applied on the body is equal to the rate of change in its momentum. F = ma. or F = m(v-u) / t. or Ft = mv - mu. That is, when F = 0, v = u for whatever time, t is taken

Answer 2

Answer:

Let initial momentum ($p_i$) be mu

Let final momentum ($p_f$) be mv

According to 2nd law of motion

$\frac{p_f - p_i}{t} \propto \: f$

$\implies \: f \propto \frac{mv \: - mu}{t}$

$\implies \: f \propto \frac{m(v - u)}{t}$

$f \propto \: ma \: \: \: \: \: \: ( \frac{v - u}{t } = a )$

To remove the proportionality sign. We would add k as the proportionality constant

$f = kma \\ f = ma \:$

because by the definition of force k = 1