state and explain Newton's first law of motion. Derive and expression for Newton's second law of motion
Answers
Answer:
first law is about inertia and second law is about F=m×a
Answer:
Newton's First Law of Motion :-
❤️If external force becomes zero a body at rest position it continues in that position is called " First law of motion " .
Newton's second law of motion :-
❤️The rate of change of momentum is directly proportional to external force acting on the body and body is moving in the direction of force is called " Second law of motion " .
===> From the definition of Newton's second law
F inversely proportional to dp/dt => eqn
Now momentum
p = mv ===> eqn 2
Substitute p = mv in eqn 1
F inversely proportional to d ( mv ) / dt
F inversely proportional to m ( dv/dt )
Here d/dt will change
F inversely proportional to m [ dv/dt ]
[ there fore dv/dt = a ]
F inversely proportional to ma
F = kma [ k = force constant ]
if k = 1 ===> F = ( 1 ) ma
====> F = ma .