Question

State 2nd law of motion and also prove it .​

Answer 1

Answer:

here is your answer

Explanation:

Newton's Second law of motion :- The rate of change of momentum is directly proportional to the force applied on the system.  

Force applied is directly proportional to the product of mass and acceleration .

Let  pi be the initial and pf be the final momentums respectively.

According to newton's second law :-  

pf - pi / t ∝ F  

We know that, Momentum ( P) = mv .

Let v be the final and u be the initial velocity .

Now,  

mv - mu / t ∝ F  

F ∝ m ( v-u) /t

F ∝ ma.  

F = kma.  

Here, K is the proportionality constant. It's value is 1 .

Units of Force are given by the units of mass and acceleration. Units of force is Kgm/s² .

In accordance to honor the contributions of Newton, 1 kgm/s² is termed as 1 Newton.

Answer 2

$\huge \blue {Answer}$

☞ According to Newton's second law of motion force applied to the system is equal to the time rate of change of momentum.

Therefore,

F= $\frac {dP}{dt}$

We know that,

P= mv

Therefore,

F= $\frac {d(mv)}{dt}$

F= $m \frac{dv}{dt}$

We know that,

a= $\frac {dv}{dt}$

Therefore,

$\boxed {F= ma}$

$\blue {Hence, \: Proved}$