State 2nd law of motion and also prove it .
Answers
Answer:
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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.
☞ 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=
We know that,
P= mv
Therefore,
F=
F=
We know that,
a=
Therefore,