Question

what is Newton 2 law of motion ? state mathematically ​

Answer 1

Answer:

Newton's second law of motion is F = ma, or force is equal to mass times acceleration.

Explanation:

In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.

Answer 2

Answer:

the rate of change of momentum is directly proportional to the applied force

Explanation:

$\maltese\underline{\textsf{\textbf{Mathematically :}}}\:\maltese✠$

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